What is the Greatest Common Factor of 70642 and 70655?

Greatest common factor (GCF) of 70642 and 70655 is 13.

GCF(70642,70655) = 13

We will now calculate the prime factors of 70642 and 70655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70642 and 70655.

How to find the GCF of 70642 and 70655?

We will first find the prime factorization of 70642 and 70655. After we will calculate the factors of 70642 and 70655 and find the biggest common factor number .

Step-1: Prime Factorization of 70642

Prime factors of 70642 are 2, 11, 13, 19. Prime factorization of 70642 in exponential form is:

70642 = 2¹ × 11¹ × 13² × 19¹

Step-2: Prime Factorization of 70655

Prime factors of 70655 are 5, 13, 1087. Prime factorization of 70655 in exponential form is:

70655 = 5¹ × 13¹ × 1087¹

Step-3: Factors of 70642

List of positive integer factors of 70642 that divides 70642 without a remainder.

1, 2, 11, 13, 19, 22, 26, 38, 143, 169, 209, 247, 286, 338, 418, 494, 1859, 2717, 3211, 3718, 5434, 6422, 35321

Step-4: Factors of 70655

List of positive integer factors of 70655 that divides 70642 without a remainder.

1, 5, 13, 65, 1087, 5435, 14131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70642 and 70655. The biggest common factor number is the GCF number.
So the greatest common factor 70642 and 70655 is 13.

Also check out the Least Common Multiple of 70642 and 70655