What is the Greatest Common Factor of 70668 and 70681?

Greatest common factor (GCF) of 70668 and 70681 is 13.

GCF(70668,70681) = 13

We will now calculate the prime factors of 70668 and 70681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70668 and 70681.

How to find the GCF of 70668 and 70681?

We will first find the prime factorization of 70668 and 70681. After we will calculate the factors of 70668 and 70681 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70681

Prime factors of 70681 are 13, 5437. Prime factorization of 70681 in exponential form is:

70681 = 13¹ × 5437¹

Step-3: Factors of 70668

List of positive integer factors of 70668 that divides 70668 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

Step-4: Factors of 70681

List of positive integer factors of 70681 that divides 70668 without a remainder.

1, 13, 5437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70668 and 70681. The biggest common factor number is the GCF number.
So the greatest common factor 70668 and 70681 is 13.

Also check out the Least Common Multiple of 70668 and 70681