What is the Greatest Common Factor of 63005 and 63020?

Greatest common factor (GCF) of 63005 and 63020 is 5.

GCF(63005,63020) = 5

We will now calculate the prime factors of 63005 and 63020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63005 and 63020.

How to find the GCF of 63005 and 63020?

We will first find the prime factorization of 63005 and 63020. After we will calculate the factors of 63005 and 63020 and find the biggest common factor number .

Step-1: Prime Factorization of 63005

Prime factors of 63005 are 5, 12601. Prime factorization of 63005 in exponential form is:

63005 = 5¹ × 12601¹

Step-2: Prime Factorization of 63020

Prime factors of 63020 are 2, 5, 23, 137. Prime factorization of 63020 in exponential form is:

63020 = 2² × 5¹ × 23¹ × 137¹

Step-3: Factors of 63005

List of positive integer factors of 63005 that divides 63005 without a remainder.

1, 5, 12601

Step-4: Factors of 63020

List of positive integer factors of 63020 that divides 63005 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 137, 230, 274, 460, 548, 685, 1370, 2740, 3151, 6302, 12604, 15755, 31510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63005 and 63020. The biggest common factor number is the GCF number.
So the greatest common factor 63005 and 63020 is 5.

Also check out the Least Common Multiple of 63005 and 63020