What is the Greatest Common Factor of 63140 and 63157?

Greatest common factor (GCF) of 63140 and 63157 is 1.

GCF(63140,63157) = 1

We will now calculate the prime factors of 63140 and 63157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63140 and 63157.

How to find the GCF of 63140 and 63157?

We will first find the prime factorization of 63140 and 63157. After we will calculate the factors of 63140 and 63157 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 63157

Prime factors of 63157 are 137, 461. Prime factorization of 63157 in exponential form is:

63157 = 137¹ × 461¹

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 63157

List of positive integer factors of 63157 that divides 63140 without a remainder.

1, 137, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63140 and 63157. The biggest common factor number is the GCF number.
So the greatest common factor 63140 and 63157 is 1.

Also check out the Least Common Multiple of 63140 and 63157