What is the Greatest Common Factor of 70131 and 70146?

Greatest common factor (GCF) of 70131 and 70146 is 3.

GCF(70131,70146) = 3

We will now calculate the prime factors of 70131 and 70146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70131 and 70146.

How to find the GCF of 70131 and 70146?

We will first find the prime factorization of 70131 and 70146. After we will calculate the factors of 70131 and 70146 and find the biggest common factor number .

Step-1: Prime Factorization of 70131

Prime factors of 70131 are 3, 97, 241. Prime factorization of 70131 in exponential form is:

70131 = 3¹ × 97¹ × 241¹

Step-2: Prime Factorization of 70146

Prime factors of 70146 are 2, 3, 433. Prime factorization of 70146 in exponential form is:

70146 = 2¹ × 3⁴ × 433¹

Step-3: Factors of 70131

List of positive integer factors of 70131 that divides 70131 without a remainder.

1, 3, 97, 241, 291, 723, 23377

Step-4: Factors of 70146

List of positive integer factors of 70146 that divides 70131 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 433, 866, 1299, 2598, 3897, 7794, 11691, 23382, 35073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70131 and 70146. The biggest common factor number is the GCF number.
So the greatest common factor 70131 and 70146 is 3.

Also check out the Least Common Multiple of 70131 and 70146