What is the Greatest Common Factor of 63125 and 63140?

Greatest common factor (GCF) of 63125 and 63140 is 5.

GCF(63125,63140) = 5

We will now calculate the prime factors of 63125 and 63140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63125 and 63140.

How to find the GCF of 63125 and 63140?

We will first find the prime factorization of 63125 and 63140. After we will calculate the factors of 63125 and 63140 and find the biggest common factor number .

Step-1: Prime Factorization of 63125

Prime factors of 63125 are 5, 101. Prime factorization of 63125 in exponential form is:

63125 = 5⁴ × 101¹

Step-2: 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-3: Factors of 63125

List of positive integer factors of 63125 that divides 63125 without a remainder.

1, 5, 25, 101, 125, 505, 625, 2525, 12625

Step-4: Factors of 63140

List of positive integer factors of 63140 that divides 63125 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63125 and 63140. The biggest common factor number is the GCF number.
So the greatest common factor 63125 and 63140 is 5.

Also check out the Least Common Multiple of 63125 and 63140