What is the Greatest Common Factor of 85616 and 85628?

Greatest common factor (GCF) of 85616 and 85628 is 4.

GCF(85616,85628) = 4

We will now calculate the prime factors of 85616 and 85628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85616 and 85628.

How to find the GCF of 85616 and 85628?

We will first find the prime factorization of 85616 and 85628. After we will calculate the factors of 85616 and 85628 and find the biggest common factor number .

Step-1: Prime Factorization of 85616

Prime factors of 85616 are 2, 5351. Prime factorization of 85616 in exponential form is:

85616 = 2⁴ × 5351¹

Step-2: Prime Factorization of 85628

Prime factors of 85628 are 2, 21407. Prime factorization of 85628 in exponential form is:

85628 = 2² × 21407¹

Step-3: Factors of 85616

List of positive integer factors of 85616 that divides 85616 without a remainder.

1, 2, 4, 8, 16, 5351, 10702, 21404, 42808

Step-4: Factors of 85628

List of positive integer factors of 85628 that divides 85616 without a remainder.

1, 2, 4, 21407, 42814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85616 and 85628. The biggest common factor number is the GCF number.
So the greatest common factor 85616 and 85628 is 4.

Also check out the Least Common Multiple of 85616 and 85628