What is the Greatest Common Factor of 85632 and 85648?

Greatest common factor (GCF) of 85632 and 85648 is 16.

GCF(85632,85648) = 16

We will now calculate the prime factors of 85632 and 85648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85632 and 85648.

How to find the GCF of 85632 and 85648?

We will first find the prime factorization of 85632 and 85648. After we will calculate the factors of 85632 and 85648 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85648

Prime factors of 85648 are 2, 53, 101. Prime factorization of 85648 in exponential form is:

85648 = 2⁴ × 53¹ × 101¹

Step-3: Factors of 85632

List of positive integer factors of 85632 that divides 85632 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

Step-4: Factors of 85648

List of positive integer factors of 85648 that divides 85632 without a remainder.

1, 2, 4, 8, 16, 53, 101, 106, 202, 212, 404, 424, 808, 848, 1616, 5353, 10706, 21412, 42824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85632 and 85648. The biggest common factor number is the GCF number.
So the greatest common factor 85632 and 85648 is 16.

Also check out the Least Common Multiple of 85632 and 85648