What is the Greatest Common Factor of 68025 and 68035?

Greatest common factor (GCF) of 68025 and 68035 is 5.

GCF(68025,68035) = 5

We will now calculate the prime factors of 68025 and 68035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68025 and 68035.

How to find the GCF of 68025 and 68035?

We will first find the prime factorization of 68025 and 68035. After we will calculate the factors of 68025 and 68035 and find the biggest common factor number .

Step-1: Prime Factorization of 68025

Prime factors of 68025 are 3, 5, 907. Prime factorization of 68025 in exponential form is:

68025 = 3¹ × 5² × 907¹

Step-2: Prime Factorization of 68035

Prime factors of 68035 are 5, 11, 1237. Prime factorization of 68035 in exponential form is:

68035 = 5¹ × 11¹ × 1237¹

Step-3: Factors of 68025

List of positive integer factors of 68025 that divides 68025 without a remainder.

1, 3, 5, 15, 25, 75, 907, 2721, 4535, 13605, 22675

Step-4: Factors of 68035

List of positive integer factors of 68035 that divides 68025 without a remainder.

1, 5, 11, 55, 1237, 6185, 13607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68025 and 68035. The biggest common factor number is the GCF number.
So the greatest common factor 68025 and 68035 is 5.

Also check out the Least Common Multiple of 68025 and 68035