What is the Greatest Common Factor of 85472 and 85486?

Greatest common factor (GCF) of 85472 and 85486 is 2.

GCF(85472,85486) = 2

We will now calculate the prime factors of 85472 and 85486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85472 and 85486.

How to find the GCF of 85472 and 85486?

We will first find the prime factorization of 85472 and 85486. After we will calculate the factors of 85472 and 85486 and find the biggest common factor number .

Step-1: Prime Factorization of 85472

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

85472 = 2⁵ × 2671¹

Step-2: Prime Factorization of 85486

Prime factors of 85486 are 2, 42743. Prime factorization of 85486 in exponential form is:

85486 = 2¹ × 42743¹

Step-3: Factors of 85472

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

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

Step-4: Factors of 85486

List of positive integer factors of 85486 that divides 85472 without a remainder.

1, 2, 42743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85472 and 85486. The biggest common factor number is the GCF number.
So the greatest common factor 85472 and 85486 is 2.

Also check out the Least Common Multiple of 85472 and 85486