What is the Greatest Common Factor of 70642 and 70653?

Greatest common factor (GCF) of 70642 and 70653 is 11.

GCF(70642,70653) = 11

We will now calculate the prime factors of 70642 and 70653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70642 and 70653.

How to find the GCF of 70642 and 70653?

We will first find the prime factorization of 70642 and 70653. After we will calculate the factors of 70642 and 70653 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 70653

Prime factors of 70653 are 3, 11, 2141. Prime factorization of 70653 in exponential form is:

70653 = 3¹ × 11¹ × 2141¹

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 70653

List of positive integer factors of 70653 that divides 70642 without a remainder.

1, 3, 11, 33, 2141, 6423, 23551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70642 and 70653. The biggest common factor number is the GCF number.
So the greatest common factor 70642 and 70653 is 11.

Also check out the Least Common Multiple of 70642 and 70653