What is the Greatest Common Factor of 85472 and 85490?

Greatest common factor (GCF) of 85472 and 85490 is 2.

GCF(85472,85490) = 2

We will now calculate the prime factors of 85472 and 85490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85472 and 85490.

How to find the GCF of 85472 and 85490?

We will first find the prime factorization of 85472 and 85490. After we will calculate the factors of 85472 and 85490 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 85490

Prime factors of 85490 are 2, 5, 83, 103. Prime factorization of 85490 in exponential form is:

85490 = 2¹ × 5¹ × 83¹ × 103¹

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 85490

List of positive integer factors of 85490 that divides 85472 without a remainder.

1, 2, 5, 10, 83, 103, 166, 206, 415, 515, 830, 1030, 8549, 17098, 42745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85472 and 85490. The biggest common factor number is the GCF number.
So the greatest common factor 85472 and 85490 is 2.

Also check out the Least Common Multiple of 85472 and 85490