What is the Greatest Common Factor of 84752 and 84772?

Greatest common factor (GCF) of 84752 and 84772 is 4.

GCF(84752,84772) = 4

We will now calculate the prime factors of 84752 and 84772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84752 and 84772.

How to find the GCF of 84752 and 84772?

We will first find the prime factorization of 84752 and 84772. After we will calculate the factors of 84752 and 84772 and find the biggest common factor number .

Step-1: Prime Factorization of 84752

Prime factors of 84752 are 2, 5297. Prime factorization of 84752 in exponential form is:

84752 = 2⁴ × 5297¹

Step-2: Prime Factorization of 84772

Prime factors of 84772 are 2, 21193. Prime factorization of 84772 in exponential form is:

84772 = 2² × 21193¹

Step-3: Factors of 84752

List of positive integer factors of 84752 that divides 84752 without a remainder.

1, 2, 4, 8, 16, 5297, 10594, 21188, 42376

Step-4: Factors of 84772

List of positive integer factors of 84772 that divides 84752 without a remainder.

1, 2, 4, 21193, 42386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84752 and 84772. The biggest common factor number is the GCF number.
So the greatest common factor 84752 and 84772 is 4.

Also check out the Least Common Multiple of 84752 and 84772