What is the Greatest Common Factor of 67025 and 67037?

Greatest common factor (GCF) of 67025 and 67037 is 1.

GCF(67025,67037) = 1

We will now calculate the prime factors of 67025 and 67037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67025 and 67037.

How to find the GCF of 67025 and 67037?

We will first find the prime factorization of 67025 and 67037. After we will calculate the factors of 67025 and 67037 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 67037

Prime factors of 67037 are 43, 1559. Prime factorization of 67037 in exponential form is:

67037 = 43¹ × 1559¹

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 67037

List of positive integer factors of 67037 that divides 67025 without a remainder.

1, 43, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67025 and 67037. The biggest common factor number is the GCF number.
So the greatest common factor 67025 and 67037 is 1.

Also check out the Least Common Multiple of 67025 and 67037