What is the Greatest Common Factor of 70456 and 70472?

Greatest common factor (GCF) of 70456 and 70472 is 8.

GCF(70456,70472) = 8

We will now calculate the prime factors of 70456 and 70472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70456 and 70472.

How to find the GCF of 70456 and 70472?

We will first find the prime factorization of 70456 and 70472. After we will calculate the factors of 70456 and 70472 and find the biggest common factor number .

Step-1: Prime Factorization of 70456

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

70456 = 2³ × 8807¹

Step-2: Prime Factorization of 70472

Prime factors of 70472 are 2, 23, 383. Prime factorization of 70472 in exponential form is:

70472 = 2³ × 23¹ × 383¹

Step-3: Factors of 70456

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

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

Step-4: Factors of 70472

List of positive integer factors of 70472 that divides 70456 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 383, 766, 1532, 3064, 8809, 17618, 35236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70456 and 70472. The biggest common factor number is the GCF number.
So the greatest common factor 70456 and 70472 is 8.

Also check out the Least Common Multiple of 70456 and 70472