What is the Greatest Common Factor of 70160 and 70180?

Greatest common factor (GCF) of 70160 and 70180 is 20.

GCF(70160,70180) = 20

We will now calculate the prime factors of 70160 and 70180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70160 and 70180.

How to find the GCF of 70160 and 70180?

We will first find the prime factorization of 70160 and 70180. After we will calculate the factors of 70160 and 70180 and find the biggest common factor number .

Step-1: Prime Factorization of 70160

Prime factors of 70160 are 2, 5, 877. Prime factorization of 70160 in exponential form is:

70160 = 2⁴ × 5¹ × 877¹

Step-2: Prime Factorization of 70180

Prime factors of 70180 are 2, 5, 11, 29. Prime factorization of 70180 in exponential form is:

70180 = 2² × 5¹ × 11² × 29¹

Step-3: Factors of 70160

List of positive integer factors of 70160 that divides 70160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 877, 1754, 3508, 4385, 7016, 8770, 14032, 17540, 35080

Step-4: Factors of 70180

List of positive integer factors of 70180 that divides 70160 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 121, 145, 220, 242, 290, 319, 484, 580, 605, 638, 1210, 1276, 1595, 2420, 3190, 3509, 6380, 7018, 14036, 17545, 35090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70160 and 70180. The biggest common factor number is the GCF number.
So the greatest common factor 70160 and 70180 is 20.

Also check out the Least Common Multiple of 70160 and 70180