What is the Greatest Common Factor of 60658 and 60671?

Greatest common factor (GCF) of 60658 and 60671 is 13.

GCF(60658,60671) = 13

We will now calculate the prime factors of 60658 and 60671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60658 and 60671.

How to find the GCF of 60658 and 60671?

We will first find the prime factorization of 60658 and 60671. After we will calculate the factors of 60658 and 60671 and find the biggest common factor number .

Step-1: Prime Factorization of 60658

Prime factors of 60658 are 2, 13, 2333. Prime factorization of 60658 in exponential form is:

60658 = 2¹ × 13¹ × 2333¹

Step-2: Prime Factorization of 60671

Prime factors of 60671 are 13, 359. Prime factorization of 60671 in exponential form is:

60671 = 13² × 359¹

Step-3: Factors of 60658

List of positive integer factors of 60658 that divides 60658 without a remainder.

1, 2, 13, 26, 2333, 4666, 30329

Step-4: Factors of 60671

List of positive integer factors of 60671 that divides 60658 without a remainder.

1, 13, 169, 359, 4667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60658 and 60671. The biggest common factor number is the GCF number.
So the greatest common factor 60658 and 60671 is 13.

Also check out the Least Common Multiple of 60658 and 60671