What is the Greatest Common Factor of 63140 and 63160?

Greatest common factor (GCF) of 63140 and 63160 is 20.

GCF(63140,63160) = 20

We will now calculate the prime factors of 63140 and 63160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63140 and 63160.

How to find the GCF of 63140 and 63160?

We will first find the prime factorization of 63140 and 63160. After we will calculate the factors of 63140 and 63160 and find the biggest common factor number .

Step-1: Prime Factorization of 63140

Prime factors of 63140 are 2, 5, 7, 11, 41. Prime factorization of 63140 in exponential form is:

63140 = 2² × 5¹ × 7¹ × 11¹ × 41¹

Step-2: Prime Factorization of 63160

Prime factors of 63160 are 2, 5, 1579. Prime factorization of 63160 in exponential form is:

63160 = 2³ × 5¹ × 1579¹

Step-3: Factors of 63140

List of positive integer factors of 63140 that divides 63140 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 41, 44, 55, 70, 77, 82, 110, 140, 154, 164, 205, 220, 287, 308, 385, 410, 451, 574, 770, 820, 902, 1148, 1435, 1540, 1804, 2255, 2870, 3157, 4510, 5740, 6314, 9020, 12628, 15785, 31570

Step-4: Factors of 63160

List of positive integer factors of 63160 that divides 63140 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1579, 3158, 6316, 7895, 12632, 15790, 31580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63140 and 63160. The biggest common factor number is the GCF number.
So the greatest common factor 63140 and 63160 is 20.

Also check out the Least Common Multiple of 63140 and 63160