What is the Greatest Common Factor of 62684 and 62698?

Greatest common factor (GCF) of 62684 and 62698 is 2.

GCF(62684,62698) = 2

We will now calculate the prime factors of 62684 and 62698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62684 and 62698.

How to find the GCF of 62684 and 62698?

We will first find the prime factorization of 62684 and 62698. After we will calculate the factors of 62684 and 62698 and find the biggest common factor number .

Step-1: Prime Factorization of 62684

Prime factors of 62684 are 2, 15671. Prime factorization of 62684 in exponential form is:

62684 = 2² × 15671¹

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 62684

List of positive integer factors of 62684 that divides 62684 without a remainder.

1, 2, 4, 15671, 31342

Step-4: Factors of 62698

List of positive integer factors of 62698 that divides 62684 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 62684 and 62698. The biggest common factor number is the GCF number.
So the greatest common factor 62684 and 62698 is 2.

Also check out the Least Common Multiple of 62684 and 62698