What is the Greatest Common Factor of 70122 and 70140?

Greatest common factor (GCF) of 70122 and 70140 is 6.

GCF(70122,70140) = 6

We will now calculate the prime factors of 70122 and 70140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70122 and 70140.

How to find the GCF of 70122 and 70140?

We will first find the prime factorization of 70122 and 70140. After we will calculate the factors of 70122 and 70140 and find the biggest common factor number .

Step-1: Prime Factorization of 70122

Prime factors of 70122 are 2, 3, 13, 29, 31. Prime factorization of 70122 in exponential form is:

70122 = 2¹ × 3¹ × 13¹ × 29¹ × 31¹

Step-2: 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-3: Factors of 70122

List of positive integer factors of 70122 that divides 70122 without a remainder.

1, 2, 3, 6, 13, 26, 29, 31, 39, 58, 62, 78, 87, 93, 174, 186, 377, 403, 754, 806, 899, 1131, 1209, 1798, 2262, 2418, 2697, 5394, 11687, 23374, 35061

Step-4: Factors of 70140

List of positive integer factors of 70140 that divides 70122 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70122 and 70140. The biggest common factor number is the GCF number.
So the greatest common factor 70122 and 70140 is 6.

Also check out the Least Common Multiple of 70122 and 70140