What is the Greatest Common Factor of 70122 and 70136?

Greatest common factor (GCF) of 70122 and 70136 is 2.

GCF(70122,70136) = 2

We will now calculate the prime factors of 70122 and 70136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70122 and 70136.

How to find the GCF of 70122 and 70136?

We will first find the prime factorization of 70122 and 70136. After we will calculate the factors of 70122 and 70136 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 70136

Prime factors of 70136 are 2, 11, 797. Prime factorization of 70136 in exponential form is:

70136 = 2³ × 11¹ × 797¹

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 70136

List of positive integer factors of 70136 that divides 70122 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 797, 1594, 3188, 6376, 8767, 17534, 35068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70122 and 70136. The biggest common factor number is the GCF number.
So the greatest common factor 70122 and 70136 is 2.

Also check out the Least Common Multiple of 70122 and 70136