What is the Greatest Common Factor of 64025 and 64030?

Greatest common factor (GCF) of 64025 and 64030 is 5.

GCF(64025,64030) = 5

We will now calculate the prime factors of 64025 and 64030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64025 and 64030.

How to find the GCF of 64025 and 64030?

We will first find the prime factorization of 64025 and 64030. After we will calculate the factors of 64025 and 64030 and find the biggest common factor number .

Step-1: Prime Factorization of 64025

Prime factors of 64025 are 5, 13, 197. Prime factorization of 64025 in exponential form is:

64025 = 5² × 13¹ × 197¹

Step-2: Prime Factorization of 64030

Prime factors of 64030 are 2, 5, 19, 337. Prime factorization of 64030 in exponential form is:

64030 = 2¹ × 5¹ × 19¹ × 337¹

Step-3: Factors of 64025

List of positive integer factors of 64025 that divides 64025 without a remainder.

1, 5, 13, 25, 65, 197, 325, 985, 2561, 4925, 12805

Step-4: Factors of 64030

List of positive integer factors of 64030 that divides 64025 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 337, 674, 1685, 3370, 6403, 12806, 32015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64025 and 64030. The biggest common factor number is the GCF number.
So the greatest common factor 64025 and 64030 is 5.

Also check out the Least Common Multiple of 64025 and 64030