What is the Greatest Common Factor of 63275 and 63280?

Greatest common factor (GCF) of 63275 and 63280 is 5.

GCF(63275,63280) = 5

We will now calculate the prime factors of 63275 and 63280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63275 and 63280.

How to find the GCF of 63275 and 63280?

We will first find the prime factorization of 63275 and 63280. After we will calculate the factors of 63275 and 63280 and find the biggest common factor number .

Step-1: Prime Factorization of 63275

Prime factors of 63275 are 5, 2531. Prime factorization of 63275 in exponential form is:

63275 = 5² × 2531¹

Step-2: 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-3: Factors of 63275

List of positive integer factors of 63275 that divides 63275 without a remainder.

1, 5, 25, 2531, 12655

Step-4: Factors of 63280

List of positive integer factors of 63280 that divides 63275 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63275 and 63280. The biggest common factor number is the GCF number.
So the greatest common factor 63275 and 63280 is 5.

Also check out the Least Common Multiple of 63275 and 63280