What is the Greatest Common Factor of 85604 and 85620?

Greatest common factor (GCF) of 85604 and 85620 is 4.

GCF(85604,85620) = 4

We will now calculate the prime factors of 85604 and 85620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85604 and 85620.

How to find the GCF of 85604 and 85620?

We will first find the prime factorization of 85604 and 85620. After we will calculate the factors of 85604 and 85620 and find the biggest common factor number .

Step-1: Prime Factorization of 85604

Prime factors of 85604 are 2, 21401. Prime factorization of 85604 in exponential form is:

85604 = 2² × 21401¹

Step-2: 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-3: Factors of 85604

List of positive integer factors of 85604 that divides 85604 without a remainder.

1, 2, 4, 21401, 42802

Step-4: Factors of 85620

List of positive integer factors of 85620 that divides 85604 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85604 and 85620. The biggest common factor number is the GCF number.
So the greatest common factor 85604 and 85620 is 4.

Also check out the Least Common Multiple of 85604 and 85620