What is the Greatest Common Factor of 57658 and 57670?

Greatest common factor (GCF) of 57658 and 57670 is 2.

GCF(57658,57670) = 2

We will now calculate the prime factors of 57658 and 57670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57658 and 57670.

How to find the GCF of 57658 and 57670?

We will first find the prime factorization of 57658 and 57670. After we will calculate the factors of 57658 and 57670 and find the biggest common factor number .

Step-1: Prime Factorization of 57658

Prime factors of 57658 are 2, 127, 227. Prime factorization of 57658 in exponential form is:

57658 = 2¹ × 127¹ × 227¹

Step-2: Prime Factorization of 57670

Prime factors of 57670 are 2, 5, 73, 79. Prime factorization of 57670 in exponential form is:

57670 = 2¹ × 5¹ × 73¹ × 79¹

Step-3: Factors of 57658

List of positive integer factors of 57658 that divides 57658 without a remainder.

1, 2, 127, 227, 254, 454, 28829

Step-4: Factors of 57670

List of positive integer factors of 57670 that divides 57658 without a remainder.

1, 2, 5, 10, 73, 79, 146, 158, 365, 395, 730, 790, 5767, 11534, 28835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57658 and 57670. The biggest common factor number is the GCF number.
So the greatest common factor 57658 and 57670 is 2.

Also check out the Least Common Multiple of 57658 and 57670