What is the Greatest Common Factor of 63140 and 63145?

Greatest common factor (GCF) of 63140 and 63145 is 5.

GCF(63140,63145) = 5

We will now calculate the prime factors of 63140 and 63145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63140 and 63145.

How to find the GCF of 63140 and 63145?

We will first find the prime factorization of 63140 and 63145. After we will calculate the factors of 63140 and 63145 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 63145

Prime factors of 63145 are 5, 73, 173. Prime factorization of 63145 in exponential form is:

63145 = 5¹ × 73¹ × 173¹

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 63145

List of positive integer factors of 63145 that divides 63140 without a remainder.

1, 5, 73, 173, 365, 865, 12629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63140 and 63145. The biggest common factor number is the GCF number.
So the greatest common factor 63140 and 63145 is 5.

Also check out the Least Common Multiple of 63140 and 63145