What is the Greatest Common Factor of 67025 and 67031?

Greatest common factor (GCF) of 67025 and 67031 is 1.

GCF(67025,67031) = 1

We will now calculate the prime factors of 67025 and 67031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67025 and 67031.

How to find the GCF of 67025 and 67031?

We will first find the prime factorization of 67025 and 67031. After we will calculate the factors of 67025 and 67031 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 67031

Prime factors of 67031 are 17, 3943. Prime factorization of 67031 in exponential form is:

67031 = 17¹ × 3943¹

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 67031

List of positive integer factors of 67031 that divides 67025 without a remainder.

1, 17, 3943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67025 and 67031. The biggest common factor number is the GCF number.
So the greatest common factor 67025 and 67031 is 1.

Also check out the Least Common Multiple of 67025 and 67031