What is the Greatest Common Factor of 62448 and 62456?

Greatest common factor (GCF) of 62448 and 62456 is 8.

GCF(62448,62456) = 8

We will now calculate the prime factors of 62448 and 62456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62448 and 62456.

How to find the GCF of 62448 and 62456?

We will first find the prime factorization of 62448 and 62456. After we will calculate the factors of 62448 and 62456 and find the biggest common factor number .

Step-1: Prime Factorization of 62448

Prime factors of 62448 are 2, 3, 1301. Prime factorization of 62448 in exponential form is:

62448 = 2⁴ × 3¹ × 1301¹

Step-2: 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-3: Factors of 62448

List of positive integer factors of 62448 that divides 62448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1301, 2602, 3903, 5204, 7806, 10408, 15612, 20816, 31224

Step-4: Factors of 62456

List of positive integer factors of 62456 that divides 62448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62448 and 62456. The biggest common factor number is the GCF number.
So the greatest common factor 62448 and 62456 is 8.

Also check out the Least Common Multiple of 62448 and 62456