What is the Greatest Common Factor of 62698 and 62702?

Greatest common factor (GCF) of 62698 and 62702 is 2.

GCF(62698,62702) = 2

We will now calculate the prime factors of 62698 and 62702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62698 and 62702.

How to find the GCF of 62698 and 62702?

We will first find the prime factorization of 62698 and 62702. After we will calculate the factors of 62698 and 62702 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62702

Prime factors of 62702 are 2, 107, 293. Prime factorization of 62702 in exponential form is:

62702 = 2¹ × 107¹ × 293¹

Step-3: Factors of 62698

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

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

Step-4: Factors of 62702

List of positive integer factors of 62702 that divides 62698 without a remainder.

1, 2, 107, 214, 293, 586, 31351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62698 and 62702. The biggest common factor number is the GCF number.
So the greatest common factor 62698 and 62702 is 2.

Also check out the Least Common Multiple of 62698 and 62702