Geodesic
Rings with the greatest common divisor
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 7, pp. 69-74
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We have found some class between the class of associative commutative factorial rings and the class of domains of integrity. It is the class of GCD-rings or almost factorial rings, i.e., domains of integrity where any two elements have a greatest common divisor. 
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A. N. Koryukin; A. M. Sebeldin; A. L. Sylla. Rings with the greatest common divisor. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 7, pp. 69-74. http://geodesic.mathdoc.fr/item/FPM_2010_16_7_a4/

[1] Koryukin A. N., Sebeldin A. M., Sylla A. L., “Pochti faktorialnye koltsa”, Materialy Vserossiiskogo simpoziuma po abelevym gruppam, RIO BGPU im. V. M. Shukshina, Biisk, 2006, 29–30

[2] Melnikov O. V., Remeslennikov V. N., Romankov V. A., Skornyakov L. A., Shestakov I. P., Obschaya algebra, v. 1, Nauka, M., 1990

[3] Fofana S. L., Sebeldin A. M., Sylla A. L., Algèbre. Introduction a la théorie des anneaux, Édit. Univ., Conakry, 2004