What is the Greatest Common Factor of 85464 and 85472?

Greatest common factor (GCF) of 85464 and 85472 is 8.

GCF(85464,85472) = 8

We will now calculate the prime factors of 85464 and 85472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85464 and 85472.

How to find the GCF of 85464 and 85472?

We will first find the prime factorization of 85464 and 85472. After we will calculate the factors of 85464 and 85472 and find the biggest common factor number .

Step-1: Prime Factorization of 85464

Prime factors of 85464 are 2, 3, 1187. Prime factorization of 85464 in exponential form is:

85464 = 2³ × 3² × 1187¹

Step-2: Prime Factorization of 85472

Prime factors of 85472 are 2, 2671. Prime factorization of 85472 in exponential form is:

85472 = 2⁵ × 2671¹

Step-3: Factors of 85464

List of positive integer factors of 85464 that divides 85464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1187, 2374, 3561, 4748, 7122, 9496, 10683, 14244, 21366, 28488, 42732

Step-4: Factors of 85472

List of positive integer factors of 85472 that divides 85464 without a remainder.

1, 2, 4, 8, 16, 32, 2671, 5342, 10684, 21368, 42736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85464 and 85472. The biggest common factor number is the GCF number.
So the greatest common factor 85464 and 85472 is 8.

Also check out the Least Common Multiple of 85464 and 85472