What is the Greatest Common Factor of 85638 and 85656?

Greatest common factor (GCF) of 85638 and 85656 is 6.

GCF(85638,85656) = 6

We will now calculate the prime factors of 85638 and 85656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85638 and 85656.

How to find the GCF of 85638 and 85656?

We will first find the prime factorization of 85638 and 85656. After we will calculate the factors of 85638 and 85656 and find the biggest common factor number .

Step-1: Prime Factorization of 85638

Prime factors of 85638 are 2, 3, 7, 2039. Prime factorization of 85638 in exponential form is:

85638 = 2¹ × 3¹ × 7¹ × 2039¹

Step-2: Prime Factorization of 85656

Prime factors of 85656 are 2, 3, 43, 83. Prime factorization of 85656 in exponential form is:

85656 = 2³ × 3¹ × 43¹ × 83¹

Step-3: Factors of 85638

List of positive integer factors of 85638 that divides 85638 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2039, 4078, 6117, 12234, 14273, 28546, 42819

Step-4: Factors of 85656

List of positive integer factors of 85656 that divides 85638 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 83, 86, 129, 166, 172, 249, 258, 332, 344, 498, 516, 664, 996, 1032, 1992, 3569, 7138, 10707, 14276, 21414, 28552, 42828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85638 and 85656. The biggest common factor number is the GCF number.
So the greatest common factor 85638 and 85656 is 6.

Also check out the Least Common Multiple of 85638 and 85656