What is the Greatest Common Factor of 70655 and 70668?

Greatest common factor (GCF) of 70655 and 70668 is 13.

GCF(70655,70668) = 13

We will now calculate the prime factors of 70655 and 70668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70655 and 70668.

How to find the GCF of 70655 and 70668?

We will first find the prime factorization of 70655 and 70668. After we will calculate the factors of 70655 and 70668 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70668

Prime factors of 70668 are 2, 3, 13, 151. Prime factorization of 70668 in exponential form is:

70668 = 2² × 3² × 13¹ × 151¹

Step-3: Factors of 70655

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

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

Step-4: Factors of 70668

List of positive integer factors of 70668 that divides 70655 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 151, 156, 234, 302, 453, 468, 604, 906, 1359, 1812, 1963, 2718, 3926, 5436, 5889, 7852, 11778, 17667, 23556, 35334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70655 and 70668. The biggest common factor number is the GCF number.
So the greatest common factor 70655 and 70668 is 13.

Also check out the Least Common Multiple of 70655 and 70668