What is the Greatest Common Factor of 70448 and 70456?

Greatest common factor (GCF) of 70448 and 70456 is 8.

GCF(70448,70456) = 8

We will now calculate the prime factors of 70448 and 70456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70448 and 70456.

How to find the GCF of 70448 and 70456?

We will first find the prime factorization of 70448 and 70456. After we will calculate the factors of 70448 and 70456 and find the biggest common factor number .

Step-1: Prime Factorization of 70448

Prime factors of 70448 are 2, 7, 17, 37. Prime factorization of 70448 in exponential form is:

70448 = 2⁴ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 70456

Prime factors of 70456 are 2, 8807. Prime factorization of 70456 in exponential form is:

70456 = 2³ × 8807¹

Step-3: Factors of 70448

List of positive integer factors of 70448 that divides 70448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 37, 56, 68, 74, 112, 119, 136, 148, 238, 259, 272, 296, 476, 518, 592, 629, 952, 1036, 1258, 1904, 2072, 2516, 4144, 4403, 5032, 8806, 10064, 17612, 35224

Step-4: Factors of 70456

List of positive integer factors of 70456 that divides 70448 without a remainder.

1, 2, 4, 8, 8807, 17614, 35228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70448 and 70456. The biggest common factor number is the GCF number.
So the greatest common factor 70448 and 70456 is 8.

Also check out the Least Common Multiple of 70448 and 70456