What is the Greatest Common Factor of 83772 and 83785?

Greatest common factor (GCF) of 83772 and 83785 is 13.

GCF(83772,83785) = 13

We will now calculate the prime factors of 83772 and 83785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83772 and 83785.

How to find the GCF of 83772 and 83785?

We will first find the prime factorization of 83772 and 83785. After we will calculate the factors of 83772 and 83785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83785

Prime factors of 83785 are 5, 13, 1289. Prime factorization of 83785 in exponential form is:

83785 = 5¹ × 13¹ × 1289¹

Step-3: Factors of 83772

List of positive integer factors of 83772 that divides 83772 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

Step-4: Factors of 83785

List of positive integer factors of 83785 that divides 83772 without a remainder.

1, 5, 13, 65, 1289, 6445, 16757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83772 and 83785. The biggest common factor number is the GCF number.
So the greatest common factor 83772 and 83785 is 13.

Also check out the Least Common Multiple of 83772 and 83785