What is the Greatest Common Factor of 63514 and 63525?

Greatest common factor (GCF) of 63514 and 63525 is 11.

GCF(63514,63525) = 11

We will now calculate the prime factors of 63514 and 63525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63514 and 63525.

How to find the GCF of 63514 and 63525?

We will first find the prime factorization of 63514 and 63525. After we will calculate the factors of 63514 and 63525 and find the biggest common factor number .

Step-1: Prime Factorization of 63514

Prime factors of 63514 are 2, 11, 2887. Prime factorization of 63514 in exponential form is:

63514 = 2¹ × 11¹ × 2887¹

Step-2: Prime Factorization of 63525

Prime factors of 63525 are 3, 5, 7, 11. Prime factorization of 63525 in exponential form is:

63525 = 3¹ × 5² × 7¹ × 11²

Step-3: Factors of 63514

List of positive integer factors of 63514 that divides 63514 without a remainder.

1, 2, 11, 22, 2887, 5774, 31757

Step-4: Factors of 63525

List of positive integer factors of 63525 that divides 63514 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 121, 165, 175, 231, 275, 363, 385, 525, 605, 825, 847, 1155, 1815, 1925, 2541, 3025, 4235, 5775, 9075, 12705, 21175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63514 and 63525. The biggest common factor number is the GCF number.
So the greatest common factor 63514 and 63525 is 11.

Also check out the Least Common Multiple of 63514 and 63525