What is the Greatest Common Factor of 63123 and 63140?

Greatest common factor (GCF) of 63123 and 63140 is 1.

GCF(63123,63140) = 1

We will now calculate the prime factors of 63123 and 63140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63123 and 63140.

How to find the GCF of 63123 and 63140?

We will first find the prime factorization of 63123 and 63140. After we will calculate the factors of 63123 and 63140 and find the biggest common factor number .

Step-1: Prime Factorization of 63123

Prime factors of 63123 are 3, 53, 397. Prime factorization of 63123 in exponential form is:

63123 = 3¹ × 53¹ × 397¹

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 63123

List of positive integer factors of 63123 that divides 63123 without a remainder.

1, 3, 53, 159, 397, 1191, 21041

Step-4: Factors of 63140

List of positive integer factors of 63140 that divides 63123 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 63123 and 63140. The biggest common factor number is the GCF number.
So the greatest common factor 63123 and 63140 is 1.

Also check out the Least Common Multiple of 63123 and 63140