What is the Greatest Common Factor of 70623 and 70642?

Greatest common factor (GCF) of 70623 and 70642 is 19.

GCF(70623,70642) = 19

We will now calculate the prime factors of 70623 and 70642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70623 and 70642.

How to find the GCF of 70623 and 70642?

We will first find the prime factorization of 70623 and 70642. After we will calculate the factors of 70623 and 70642 and find the biggest common factor number .

Step-1: Prime Factorization of 70623

Prime factors of 70623 are 3, 7, 19, 59. Prime factorization of 70623 in exponential form is:

70623 = 3² × 7¹ × 19¹ × 59¹

Step-2: 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-3: Factors of 70623

List of positive integer factors of 70623 that divides 70623 without a remainder.

1, 3, 7, 9, 19, 21, 57, 59, 63, 133, 171, 177, 399, 413, 531, 1121, 1197, 1239, 3363, 3717, 7847, 10089, 23541

Step-4: Factors of 70642

List of positive integer factors of 70642 that divides 70623 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70623 and 70642. The biggest common factor number is the GCF number.
So the greatest common factor 70623 and 70642 is 19.

Also check out the Least Common Multiple of 70623 and 70642