What is the Greatest Common Factor of 70650 and 70668?

Greatest common factor (GCF) of 70650 and 70668 is 18.

GCF(70650,70668) = 18

We will now calculate the prime factors of 70650 and 70668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70650 and 70668.

How to find the GCF of 70650 and 70668?

We will first find the prime factorization of 70650 and 70668. After we will calculate the factors of 70650 and 70668 and find the biggest common factor number .

Step-1: Prime Factorization of 70650

Prime factors of 70650 are 2, 3, 5, 157. Prime factorization of 70650 in exponential form is:

70650 = 2¹ × 3² × 5² × 157¹

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 70650

List of positive integer factors of 70650 that divides 70650 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 157, 225, 314, 450, 471, 785, 942, 1413, 1570, 2355, 2826, 3925, 4710, 7065, 7850, 11775, 14130, 23550, 35325

Step-4: Factors of 70668

List of positive integer factors of 70668 that divides 70650 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 70650 and 70668. The biggest common factor number is the GCF number.
So the greatest common factor 70650 and 70668 is 18.

Also check out the Least Common Multiple of 70650 and 70668