What is the Greatest Common Factor of 57472 and 57490?

Greatest common factor (GCF) of 57472 and 57490 is 2.

GCF(57472,57490) = 2

We will now calculate the prime factors of 57472 and 57490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57472 and 57490.

How to find the GCF of 57472 and 57490?

We will first find the prime factorization of 57472 and 57490. After we will calculate the factors of 57472 and 57490 and find the biggest common factor number .

Step-1: Prime Factorization of 57472

Prime factors of 57472 are 2, 449. Prime factorization of 57472 in exponential form is:

57472 = 2⁷ × 449¹

Step-2: Prime Factorization of 57490

Prime factors of 57490 are 2, 5, 5749. Prime factorization of 57490 in exponential form is:

57490 = 2¹ × 5¹ × 5749¹

Step-3: Factors of 57472

List of positive integer factors of 57472 that divides 57472 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 449, 898, 1796, 3592, 7184, 14368, 28736

Step-4: Factors of 57490

List of positive integer factors of 57490 that divides 57472 without a remainder.

1, 2, 5, 10, 5749, 11498, 28745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57472 and 57490. The biggest common factor number is the GCF number.
So the greatest common factor 57472 and 57490 is 2.

Also check out the Least Common Multiple of 57472 and 57490