What is the Greatest Common Factor of 85620 and 85632?

Greatest common factor (GCF) of 85620 and 85632 is 12.

GCF(85620,85632) = 12

We will now calculate the prime factors of 85620 and 85632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85620 and 85632.

How to find the GCF of 85620 and 85632?

We will first find the prime factorization of 85620 and 85632. After we will calculate the factors of 85620 and 85632 and find the biggest common factor number .

Step-1: Prime Factorization of 85620

Prime factors of 85620 are 2, 3, 5, 1427. Prime factorization of 85620 in exponential form is:

85620 = 2² × 3¹ × 5¹ × 1427¹

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 85620

List of positive integer factors of 85620 that divides 85620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1427, 2854, 4281, 5708, 7135, 8562, 14270, 17124, 21405, 28540, 42810

Step-4: Factors of 85632

List of positive integer factors of 85632 that divides 85620 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 85620 and 85632. The biggest common factor number is the GCF number.
So the greatest common factor 85620 and 85632 is 12.

Also check out the Least Common Multiple of 85620 and 85632