What is the Greatest Common Factor of 62456 and 62466?

Greatest common factor (GCF) of 62456 and 62466 is 2.

GCF(62456,62466) = 2

We will now calculate the prime factors of 62456 and 62466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62456 and 62466.

How to find the GCF of 62456 and 62466?

We will first find the prime factorization of 62456 and 62466. After we will calculate the factors of 62456 and 62466 and find the biggest common factor number .

Step-1: Prime Factorization of 62456

Prime factors of 62456 are 2, 37, 211. Prime factorization of 62456 in exponential form is:

62456 = 2³ × 37¹ × 211¹

Step-2: Prime Factorization of 62466

Prime factors of 62466 are 2, 3, 29, 359. Prime factorization of 62466 in exponential form is:

62466 = 2¹ × 3¹ × 29¹ × 359¹

Step-3: Factors of 62456

List of positive integer factors of 62456 that divides 62456 without a remainder.

1, 2, 4, 8, 37, 74, 148, 211, 296, 422, 844, 1688, 7807, 15614, 31228

Step-4: Factors of 62466

List of positive integer factors of 62466 that divides 62456 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 359, 718, 1077, 2154, 10411, 20822, 31233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62456 and 62466. The biggest common factor number is the GCF number.
So the greatest common factor 62456 and 62466 is 2.

Also check out the Least Common Multiple of 62456 and 62466