What is the Greatest Common Factor of 62680 and 62698?

Greatest common factor (GCF) of 62680 and 62698 is 2.

GCF(62680,62698) = 2

We will now calculate the prime factors of 62680 and 62698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62680 and 62698.

How to find the GCF of 62680 and 62698?

We will first find the prime factorization of 62680 and 62698. After we will calculate the factors of 62680 and 62698 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 62698

Prime factors of 62698 are 2, 23, 29, 47. Prime factorization of 62698 in exponential form is:

62698 = 2¹ × 23¹ × 29¹ × 47¹

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 62698

List of positive integer factors of 62698 that divides 62680 without a remainder.

1, 2, 23, 29, 46, 47, 58, 94, 667, 1081, 1334, 1363, 2162, 2726, 31349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62680 and 62698. The biggest common factor number is the GCF number.
So the greatest common factor 62680 and 62698 is 2.

Also check out the Least Common Multiple of 62680 and 62698