What is the Greatest Common Factor of 70144 and 70162?

Greatest common factor (GCF) of 70144 and 70162 is 2.

GCF(70144,70162) = 2

We will now calculate the prime factors of 70144 and 70162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70144 and 70162.

How to find the GCF of 70144 and 70162?

We will first find the prime factorization of 70144 and 70162. After we will calculate the factors of 70144 and 70162 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 70162

Prime factors of 70162 are 2, 35081. Prime factorization of 70162 in exponential form is:

70162 = 2¹ × 35081¹

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 70162

List of positive integer factors of 70162 that divides 70144 without a remainder.

1, 2, 35081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70144 and 70162. The biggest common factor number is the GCF number.
So the greatest common factor 70144 and 70162 is 2.

Also check out the Least Common Multiple of 70144 and 70162