What is the Greatest Common Factor of 70119 and 70131?

Greatest common factor (GCF) of 70119 and 70131 is 3.

GCF(70119,70131) = 3

We will now calculate the prime factors of 70119 and 70131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70119 and 70131.

How to find the GCF of 70119 and 70131?

We will first find the prime factorization of 70119 and 70131. After we will calculate the factors of 70119 and 70131 and find the biggest common factor number .

Step-1: Prime Factorization of 70119

Prime factors of 70119 are 3, 7, 53. Prime factorization of 70119 in exponential form is:

70119 = 3³ × 7² × 53¹

Step-2: 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-3: Factors of 70119

List of positive integer factors of 70119 that divides 70119 without a remainder.

1, 3, 7, 9, 21, 27, 49, 53, 63, 147, 159, 189, 371, 441, 477, 1113, 1323, 1431, 2597, 3339, 7791, 10017, 23373

Step-4: Factors of 70131

List of positive integer factors of 70131 that divides 70119 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70119 and 70131. The biggest common factor number is the GCF number.
So the greatest common factor 70119 and 70131 is 3.

Also check out the Least Common Multiple of 70119 and 70131