What is the Greatest Common Factor of 67025 and 67035?

Greatest common factor (GCF) of 67025 and 67035 is 5.

GCF(67025,67035) = 5

We will now calculate the prime factors of 67025 and 67035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67025 and 67035.

How to find the GCF of 67025 and 67035?

We will first find the prime factorization of 67025 and 67035. After we will calculate the factors of 67025 and 67035 and find the biggest common factor number .

Step-1: Prime Factorization of 67025

Prime factors of 67025 are 5, 7, 383. Prime factorization of 67025 in exponential form is:

67025 = 5² × 7¹ × 383¹

Step-2: Prime Factorization of 67035

Prime factors of 67035 are 3, 5, 41, 109. Prime factorization of 67035 in exponential form is:

67035 = 3¹ × 5¹ × 41¹ × 109¹

Step-3: Factors of 67025

List of positive integer factors of 67025 that divides 67025 without a remainder.

1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405

Step-4: Factors of 67035

List of positive integer factors of 67035 that divides 67025 without a remainder.

1, 3, 5, 15, 41, 109, 123, 205, 327, 545, 615, 1635, 4469, 13407, 22345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67025 and 67035. The biggest common factor number is the GCF number.
So the greatest common factor 67025 and 67035 is 5.

Also check out the Least Common Multiple of 67025 and 67035