What is the Greatest Common Factor of 63506 and 63520?

Greatest common factor (GCF) of 63506 and 63520 is 2.

GCF(63506,63520) = 2

We will now calculate the prime factors of 63506 and 63520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63506 and 63520.

How to find the GCF of 63506 and 63520?

We will first find the prime factorization of 63506 and 63520. After we will calculate the factors of 63506 and 63520 and find the biggest common factor number .

Step-1: Prime Factorization of 63506

Prime factors of 63506 are 2, 113, 281. Prime factorization of 63506 in exponential form is:

63506 = 2¹ × 113¹ × 281¹

Step-2: Prime Factorization of 63520

Prime factors of 63520 are 2, 5, 397. Prime factorization of 63520 in exponential form is:

63520 = 2⁵ × 5¹ × 397¹

Step-3: Factors of 63506

List of positive integer factors of 63506 that divides 63506 without a remainder.

1, 2, 113, 226, 281, 562, 31753

Step-4: Factors of 63520

List of positive integer factors of 63520 that divides 63506 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 397, 794, 1588, 1985, 3176, 3970, 6352, 7940, 12704, 15880, 31760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63506 and 63520. The biggest common factor number is the GCF number.
So the greatest common factor 63506 and 63520 is 2.

Also check out the Least Common Multiple of 63506 and 63520