What is the Greatest Common Factor of 63025 and 63030?

Greatest common factor (GCF) of 63025 and 63030 is 5.

GCF(63025,63030) = 5

We will now calculate the prime factors of 63025 and 63030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63025 and 63030.

How to find the GCF of 63025 and 63030?

We will first find the prime factorization of 63025 and 63030. After we will calculate the factors of 63025 and 63030 and find the biggest common factor number .

Step-1: Prime Factorization of 63025

Prime factors of 63025 are 5, 2521. Prime factorization of 63025 in exponential form is:

63025 = 5² × 2521¹

Step-2: Prime Factorization of 63030

Prime factors of 63030 are 2, 3, 5, 11, 191. Prime factorization of 63030 in exponential form is:

63030 = 2¹ × 3¹ × 5¹ × 11¹ × 191¹

Step-3: Factors of 63025

List of positive integer factors of 63025 that divides 63025 without a remainder.

1, 5, 25, 2521, 12605

Step-4: Factors of 63030

List of positive integer factors of 63030 that divides 63025 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 191, 330, 382, 573, 955, 1146, 1910, 2101, 2865, 4202, 5730, 6303, 10505, 12606, 21010, 31515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63025 and 63030. The biggest common factor number is the GCF number.
So the greatest common factor 63025 and 63030 is 5.

Also check out the Least Common Multiple of 63025 and 63030