What is the Greatest Common Factor of 83628 and 83632?

Greatest common factor (GCF) of 83628 and 83632 is 4.

GCF(83628,83632) = 4

We will now calculate the prime factors of 83628 and 83632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83628 and 83632.

How to find the GCF of 83628 and 83632?

We will first find the prime factorization of 83628 and 83632. After we will calculate the factors of 83628 and 83632 and find the biggest common factor number .

Step-1: Prime Factorization of 83628

Prime factors of 83628 are 2, 3, 23, 101. Prime factorization of 83628 in exponential form is:

83628 = 2² × 3² × 23¹ × 101¹

Step-2: Prime Factorization of 83632

Prime factors of 83632 are 2, 5227. Prime factorization of 83632 in exponential form is:

83632 = 2⁴ × 5227¹

Step-3: Factors of 83628

List of positive integer factors of 83628 that divides 83628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 101, 138, 202, 207, 276, 303, 404, 414, 606, 828, 909, 1212, 1818, 2323, 3636, 4646, 6969, 9292, 13938, 20907, 27876, 41814

Step-4: Factors of 83632

List of positive integer factors of 83632 that divides 83628 without a remainder.

1, 2, 4, 8, 16, 5227, 10454, 20908, 41816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83628 and 83632. The biggest common factor number is the GCF number.
So the greatest common factor 83628 and 83632 is 4.

Also check out the Least Common Multiple of 83628 and 83632