What is the Greatest Common Factor of 63050 and 63065?

Greatest common factor (GCF) of 63050 and 63065 is 5.

GCF(63050,63065) = 5

We will now calculate the prime factors of 63050 and 63065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63050 and 63065.

How to find the GCF of 63050 and 63065?

We will first find the prime factorization of 63050 and 63065. After we will calculate the factors of 63050 and 63065 and find the biggest common factor number .

Step-1: Prime Factorization of 63050

Prime factors of 63050 are 2, 5, 13, 97. Prime factorization of 63050 in exponential form is:

63050 = 2¹ × 5² × 13¹ × 97¹

Step-2: Prime Factorization of 63065

Prime factors of 63065 are 5, 12613. Prime factorization of 63065 in exponential form is:

63065 = 5¹ × 12613¹

Step-3: Factors of 63050

List of positive integer factors of 63050 that divides 63050 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 97, 130, 194, 325, 485, 650, 970, 1261, 2425, 2522, 4850, 6305, 12610, 31525

Step-4: Factors of 63065

List of positive integer factors of 63065 that divides 63050 without a remainder.

1, 5, 12613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63050 and 63065. The biggest common factor number is the GCF number.
So the greatest common factor 63050 and 63065 is 5.

Also check out the Least Common Multiple of 63050 and 63065