What is the Greatest Common Factor of 70180 and 70190?

Greatest common factor (GCF) of 70180 and 70190 is 10.

GCF(70180,70190) = 10

We will now calculate the prime factors of 70180 and 70190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70180 and 70190.

How to find the GCF of 70180 and 70190?

We will first find the prime factorization of 70180 and 70190. After we will calculate the factors of 70180 and 70190 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70190

Prime factors of 70190 are 2, 5, 7019. Prime factorization of 70190 in exponential form is:

70190 = 2¹ × 5¹ × 7019¹

Step-3: Factors of 70180

List of positive integer factors of 70180 that divides 70180 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

Step-4: Factors of 70190

List of positive integer factors of 70190 that divides 70180 without a remainder.

1, 2, 5, 10, 7019, 14038, 35095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70180 and 70190. The biggest common factor number is the GCF number.
So the greatest common factor 70180 and 70190 is 10.

Also check out the Least Common Multiple of 70180 and 70190