What is the Greatest Common Factor of 83772 and 83792?

Greatest common factor (GCF) of 83772 and 83792 is 4.

GCF(83772,83792) = 4

We will now calculate the prime factors of 83772 and 83792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83772 and 83792.

How to find the GCF of 83772 and 83792?

We will first find the prime factorization of 83772 and 83792. After we will calculate the factors of 83772 and 83792 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 83792

Prime factors of 83792 are 2, 5237. Prime factorization of 83792 in exponential form is:

83792 = 2⁴ × 5237¹

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 83792

List of positive integer factors of 83792 that divides 83772 without a remainder.

1, 2, 4, 8, 16, 5237, 10474, 20948, 41896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83772 and 83792. The biggest common factor number is the GCF number.
So the greatest common factor 83772 and 83792 is 4.

Also check out the Least Common Multiple of 83772 and 83792