What is the Greatest Common Factor of 85628 and 85638?

Greatest common factor (GCF) of 85628 and 85638 is 2.

GCF(85628,85638) = 2

We will now calculate the prime factors of 85628 and 85638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85628 and 85638.

How to find the GCF of 85628 and 85638?

We will first find the prime factorization of 85628 and 85638. After we will calculate the factors of 85628 and 85638 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 85638

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

85638 = 2¹ × 3¹ × 7¹ × 2039¹

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 85638

List of positive integer factors of 85638 that divides 85628 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85628 and 85638. The biggest common factor number is the GCF number.
So the greatest common factor 85628 and 85638 is 2.

Also check out the Least Common Multiple of 85628 and 85638