What is the Greatest Common Factor of 70452 and 70456?

Greatest common factor (GCF) of 70452 and 70456 is 4.

GCF(70452,70456) = 4

We will now calculate the prime factors of 70452 and 70456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70452 and 70456.

How to find the GCF of 70452 and 70456?

We will first find the prime factorization of 70452 and 70456. After we will calculate the factors of 70452 and 70456 and find the biggest common factor number .

Step-1: Prime Factorization of 70452

Prime factors of 70452 are 2, 3, 19, 103. Prime factorization of 70452 in exponential form is:

70452 = 2² × 3² × 19¹ × 103¹

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 70452

List of positive integer factors of 70452 that divides 70452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 103, 114, 171, 206, 228, 309, 342, 412, 618, 684, 927, 1236, 1854, 1957, 3708, 3914, 5871, 7828, 11742, 17613, 23484, 35226

Step-4: Factors of 70456

List of positive integer factors of 70456 that divides 70452 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70452 and 70456. The biggest common factor number is the GCF number.
So the greatest common factor 70452 and 70456 is 4.

Also check out the Least Common Multiple of 70452 and 70456