What is the Greatest Common Factor of 70144 and 70164?

Greatest common factor (GCF) of 70144 and 70164 is 4.

GCF(70144,70164) = 4

We will now calculate the prime factors of 70144 and 70164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70144 and 70164.

How to find the GCF of 70144 and 70164?

We will first find the prime factorization of 70144 and 70164. After we will calculate the factors of 70144 and 70164 and find the biggest common factor number .

Step-1: Prime Factorization of 70144

Prime factors of 70144 are 2, 137. Prime factorization of 70144 in exponential form is:

70144 = 2⁹ × 137¹

Step-2: Prime Factorization of 70164

Prime factors of 70164 are 2, 3, 1949. Prime factorization of 70164 in exponential form is:

70164 = 2² × 3² × 1949¹

Step-3: Factors of 70144

List of positive integer factors of 70144 that divides 70144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 137, 256, 274, 512, 548, 1096, 2192, 4384, 8768, 17536, 35072

Step-4: Factors of 70164

List of positive integer factors of 70164 that divides 70144 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1949, 3898, 5847, 7796, 11694, 17541, 23388, 35082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70144 and 70164. The biggest common factor number is the GCF number.
So the greatest common factor 70144 and 70164 is 4.

Also check out the Least Common Multiple of 70144 and 70164