What is the Greatest Common Factor of 83756 and 83772?

Greatest common factor (GCF) of 83756 and 83772 is 4.

GCF(83756,83772) = 4

We will now calculate the prime factors of 83756 and 83772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83756 and 83772.

How to find the GCF of 83756 and 83772?

We will first find the prime factorization of 83756 and 83772. After we will calculate the factors of 83756 and 83772 and find the biggest common factor number .

Step-1: Prime Factorization of 83756

Prime factors of 83756 are 2, 20939. Prime factorization of 83756 in exponential form is:

83756 = 2² × 20939¹

Step-2: Prime Factorization of 83772

Prime factors of 83772 are 2, 3, 13, 179. Prime factorization of 83772 in exponential form is:

83772 = 2² × 3² × 13¹ × 179¹

Step-3: Factors of 83756

List of positive integer factors of 83756 that divides 83756 without a remainder.

1, 2, 4, 20939, 41878

Step-4: Factors of 83772

List of positive integer factors of 83772 that divides 83756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 179, 234, 358, 468, 537, 716, 1074, 1611, 2148, 2327, 3222, 4654, 6444, 6981, 9308, 13962, 20943, 27924, 41886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83756 and 83772. The biggest common factor number is the GCF number.
So the greatest common factor 83756 and 83772 is 4.

Also check out the Least Common Multiple of 83756 and 83772