What is the Greatest Common Factor of 70140 and 70144?

Greatest common factor (GCF) of 70140 and 70144 is 4.

GCF(70140,70144) = 4

We will now calculate the prime factors of 70140 and 70144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70140 and 70144.

How to find the GCF of 70140 and 70144?

We will first find the prime factorization of 70140 and 70144. After we will calculate the factors of 70140 and 70144 and find the biggest common factor number .

Step-1: Prime Factorization of 70140

Prime factors of 70140 are 2, 3, 5, 7, 167. Prime factorization of 70140 in exponential form is:

70140 = 2² × 3¹ × 5¹ × 7¹ × 167¹

Step-2: Prime Factorization of 70144

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

70144 = 2⁹ × 137¹

Step-3: Factors of 70140

List of positive integer factors of 70140 that divides 70140 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 167, 210, 334, 420, 501, 668, 835, 1002, 1169, 1670, 2004, 2338, 2505, 3340, 3507, 4676, 5010, 5845, 7014, 10020, 11690, 14028, 17535, 23380, 35070

Step-4: Factors of 70144

List of positive integer factors of 70144 that divides 70140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70140 and 70144. The biggest common factor number is the GCF number.
So the greatest common factor 70140 and 70144 is 4.

Also check out the Least Common Multiple of 70140 and 70144