What is the Greatest Common Factor of 70109 and 70122?

Greatest common factor (GCF) of 70109 and 70122 is 13.

GCF(70109,70122) = 13

We will now calculate the prime factors of 70109 and 70122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70109 and 70122.

How to find the GCF of 70109 and 70122?

We will first find the prime factorization of 70109 and 70122. After we will calculate the factors of 70109 and 70122 and find the biggest common factor number .

Step-1: Prime Factorization of 70109

Prime factors of 70109 are 13, 5393. Prime factorization of 70109 in exponential form is:

70109 = 13¹ × 5393¹

Step-2: 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-3: Factors of 70109

List of positive integer factors of 70109 that divides 70109 without a remainder.

1, 13, 5393

Step-4: Factors of 70122

List of positive integer factors of 70122 that divides 70109 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70109 and 70122. The biggest common factor number is the GCF number.
So the greatest common factor 70109 and 70122 is 13.

Also check out the Least Common Multiple of 70109 and 70122