What is the Greatest Common Factor of 62456 and 62470?

Greatest common factor (GCF) of 62456 and 62470 is 2.

GCF(62456,62470) = 2

We will now calculate the prime factors of 62456 and 62470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62456 and 62470.

How to find the GCF of 62456 and 62470?

We will first find the prime factorization of 62456 and 62470. After we will calculate the factors of 62456 and 62470 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 62470

Prime factors of 62470 are 2, 5, 6247. Prime factorization of 62470 in exponential form is:

62470 = 2¹ × 5¹ × 6247¹

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 62470

List of positive integer factors of 62470 that divides 62456 without a remainder.

1, 2, 5, 10, 6247, 12494, 31235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62456 and 62470. The biggest common factor number is the GCF number.
So the greatest common factor 62456 and 62470 is 2.

Also check out the Least Common Multiple of 62456 and 62470