What is the Greatest Common Factor of 63280 and 63295?

Greatest common factor (GCF) of 63280 and 63295 is 5.

GCF(63280,63295) = 5

We will now calculate the prime factors of 63280 and 63295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63280 and 63295.

How to find the GCF of 63280 and 63295?

We will first find the prime factorization of 63280 and 63295. After we will calculate the factors of 63280 and 63295 and find the biggest common factor number .

Step-1: Prime Factorization of 63280

Prime factors of 63280 are 2, 5, 7, 113. Prime factorization of 63280 in exponential form is:

63280 = 2⁴ × 5¹ × 7¹ × 113¹

Step-2: Prime Factorization of 63295

Prime factors of 63295 are 5, 12659. Prime factorization of 63295 in exponential form is:

63295 = 5¹ × 12659¹

Step-3: Factors of 63280

List of positive integer factors of 63280 that divides 63280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 113, 140, 226, 280, 452, 560, 565, 791, 904, 1130, 1582, 1808, 2260, 3164, 3955, 4520, 6328, 7910, 9040, 12656, 15820, 31640

Step-4: Factors of 63295

List of positive integer factors of 63295 that divides 63280 without a remainder.

1, 5, 12659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63280 and 63295. The biggest common factor number is the GCF number.
So the greatest common factor 63280 and 63295 is 5.

Also check out the Least Common Multiple of 63280 and 63295