What is the Greatest Common Factor of 63140 and 63150?

Greatest common factor (GCF) of 63140 and 63150 is 10.

GCF(63140,63150) = 10

We will now calculate the prime factors of 63140 and 63150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63140 and 63150.

How to find the GCF of 63140 and 63150?

We will first find the prime factorization of 63140 and 63150. After we will calculate the factors of 63140 and 63150 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 63150

Prime factors of 63150 are 2, 3, 5, 421. Prime factorization of 63150 in exponential form is:

63150 = 2¹ × 3¹ × 5² × 421¹

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 63150

List of positive integer factors of 63150 that divides 63140 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 421, 842, 1263, 2105, 2526, 4210, 6315, 10525, 12630, 21050, 31575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63140 and 63150. The biggest common factor number is the GCF number.
So the greatest common factor 63140 and 63150 is 10.

Also check out the Least Common Multiple of 63140 and 63150