What is the Greatest Common Factor of 70044 and 70057?

Greatest common factor (GCF) of 70044 and 70057 is 13.

GCF(70044,70057) = 13

We will now calculate the prime factors of 70044 and 70057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70044 and 70057.

How to find the GCF of 70044 and 70057?

We will first find the prime factorization of 70044 and 70057. After we will calculate the factors of 70044 and 70057 and find the biggest common factor number .

Step-1: Prime Factorization of 70044

Prime factors of 70044 are 2, 3, 13, 449. Prime factorization of 70044 in exponential form is:

70044 = 2² × 3¹ × 13¹ × 449¹

Step-2: Prime Factorization of 70057

Prime factors of 70057 are 13, 17, 317. Prime factorization of 70057 in exponential form is:

70057 = 13¹ × 17¹ × 317¹

Step-3: Factors of 70044

List of positive integer factors of 70044 that divides 70044 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 449, 898, 1347, 1796, 2694, 5388, 5837, 11674, 17511, 23348, 35022

Step-4: Factors of 70057

List of positive integer factors of 70057 that divides 70044 without a remainder.

1, 13, 17, 221, 317, 4121, 5389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70044 and 70057. The biggest common factor number is the GCF number.
So the greatest common factor 70044 and 70057 is 13.

Also check out the Least Common Multiple of 70044 and 70057