What is the Greatest Common Factor of 62680 and 62686?

Greatest common factor (GCF) of 62680 and 62686 is 2.

GCF(62680,62686) = 2

We will now calculate the prime factors of 62680 and 62686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62680 and 62686.

How to find the GCF of 62680 and 62686?

We will first find the prime factorization of 62680 and 62686. After we will calculate the factors of 62680 and 62686 and find the biggest common factor number .

Step-1: Prime Factorization of 62680

Prime factors of 62680 are 2, 5, 1567. Prime factorization of 62680 in exponential form is:

62680 = 2³ × 5¹ × 1567¹

Step-2: Prime Factorization of 62686

Prime factors of 62686 are 2, 13, 2411. Prime factorization of 62686 in exponential form is:

62686 = 2¹ × 13¹ × 2411¹

Step-3: Factors of 62680

List of positive integer factors of 62680 that divides 62680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1567, 3134, 6268, 7835, 12536, 15670, 31340

Step-4: Factors of 62686

List of positive integer factors of 62686 that divides 62680 without a remainder.

1, 2, 13, 26, 2411, 4822, 31343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62680 and 62686. The biggest common factor number is the GCF number.
So the greatest common factor 62680 and 62686 is 2.

Also check out the Least Common Multiple of 62680 and 62686