What is the Greatest Common Factor of 84956 and 84972?

Greatest common factor (GCF) of 84956 and 84972 is 4.

GCF(84956,84972) = 4

We will now calculate the prime factors of 84956 and 84972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84956 and 84972.

How to find the GCF of 84956 and 84972?

We will first find the prime factorization of 84956 and 84972. After we will calculate the factors of 84956 and 84972 and find the biggest common factor number .

Step-1: Prime Factorization of 84956

Prime factors of 84956 are 2, 67, 317. Prime factorization of 84956 in exponential form is:

84956 = 2² × 67¹ × 317¹

Step-2: Prime Factorization of 84972

Prime factors of 84972 are 2, 3, 73, 97. Prime factorization of 84972 in exponential form is:

84972 = 2² × 3¹ × 73¹ × 97¹

Step-3: Factors of 84956

List of positive integer factors of 84956 that divides 84956 without a remainder.

1, 2, 4, 67, 134, 268, 317, 634, 1268, 21239, 42478

Step-4: Factors of 84972

List of positive integer factors of 84972 that divides 84956 without a remainder.

1, 2, 3, 4, 6, 12, 73, 97, 146, 194, 219, 291, 292, 388, 438, 582, 876, 1164, 7081, 14162, 21243, 28324, 42486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84956 and 84972. The biggest common factor number is the GCF number.
So the greatest common factor 84956 and 84972 is 4.

Also check out the Least Common Multiple of 84956 and 84972