What is the Greatest Common Factor of 70170 and 70180?

Greatest common factor (GCF) of 70170 and 70180 is 10.

GCF(70170,70180) = 10

We will now calculate the prime factors of 70170 and 70180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70170 and 70180.

How to find the GCF of 70170 and 70180?

We will first find the prime factorization of 70170 and 70180. After we will calculate the factors of 70170 and 70180 and find the biggest common factor number .

Step-1: Prime Factorization of 70170

Prime factors of 70170 are 2, 3, 5, 2339. Prime factorization of 70170 in exponential form is:

70170 = 2¹ × 3¹ × 5¹ × 2339¹

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 70170

List of positive integer factors of 70170 that divides 70170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2339, 4678, 7017, 11695, 14034, 23390, 35085

Step-4: Factors of 70180

List of positive integer factors of 70180 that divides 70170 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 70170 and 70180. The biggest common factor number is the GCF number.
So the greatest common factor 70170 and 70180 is 10.

Also check out the Least Common Multiple of 70170 and 70180