What is the Greatest Common Factor of 85628 and 85632?

Greatest common factor (GCF) of 85628 and 85632 is 4.

GCF(85628,85632) = 4

We will now calculate the prime factors of 85628 and 85632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85628 and 85632.

How to find the GCF of 85628 and 85632?

We will first find the prime factorization of 85628 and 85632. After we will calculate the factors of 85628 and 85632 and find the biggest common factor number .

Step-1: Prime Factorization of 85628

Prime factors of 85628 are 2, 21407. Prime factorization of 85628 in exponential form is:

85628 = 2² × 21407¹

Step-2: Prime Factorization of 85632

Prime factors of 85632 are 2, 3, 223. Prime factorization of 85632 in exponential form is:

85632 = 2⁷ × 3¹ × 223¹

Step-3: Factors of 85628

List of positive integer factors of 85628 that divides 85628 without a remainder.

1, 2, 4, 21407, 42814

Step-4: Factors of 85632

List of positive integer factors of 85632 that divides 85628 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 223, 384, 446, 669, 892, 1338, 1784, 2676, 3568, 5352, 7136, 10704, 14272, 21408, 28544, 42816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85628 and 85632. The biggest common factor number is the GCF number.
So the greatest common factor 85628 and 85632 is 4.

Also check out the Least Common Multiple of 85628 and 85632