What is the Greatest Common Factor of 58651 and 58670?

Greatest common factor (GCF) of 58651 and 58670 is 1.

GCF(58651,58670) = 1

We will now calculate the prime factors of 58651 and 58670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58651 and 58670.

How to find the GCF of 58651 and 58670?

We will first find the prime factorization of 58651 and 58670. After we will calculate the factors of 58651 and 58670 and find the biggest common factor number .

Step-1: Prime Factorization of 58651

Prime factors of 58651 are 89, 659. Prime factorization of 58651 in exponential form is:

58651 = 89¹ × 659¹

Step-2: Prime Factorization of 58670

Prime factors of 58670 are 2, 5, 5867. Prime factorization of 58670 in exponential form is:

58670 = 2¹ × 5¹ × 5867¹

Step-3: Factors of 58651

List of positive integer factors of 58651 that divides 58651 without a remainder.

1, 89, 659

Step-4: Factors of 58670

List of positive integer factors of 58670 that divides 58651 without a remainder.

1, 2, 5, 10, 5867, 11734, 29335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58651 and 58670. The biggest common factor number is the GCF number.
So the greatest common factor 58651 and 58670 is 1.

Also check out the Least Common Multiple of 58651 and 58670