What is the Greatest Common Factor of 68025 and 68036?

Greatest common factor (GCF) of 68025 and 68036 is 1.

GCF(68025,68036) = 1

We will now calculate the prime factors of 68025 and 68036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68025 and 68036.

How to find the GCF of 68025 and 68036?

We will first find the prime factorization of 68025 and 68036. After we will calculate the factors of 68025 and 68036 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 68036

Prime factors of 68036 are 2, 73, 233. Prime factorization of 68036 in exponential form is:

68036 = 2² × 73¹ × 233¹

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 68036

List of positive integer factors of 68036 that divides 68025 without a remainder.

1, 2, 4, 73, 146, 233, 292, 466, 932, 17009, 34018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68025 and 68036. The biggest common factor number is the GCF number.
So the greatest common factor 68025 and 68036 is 1.

Also check out the Least Common Multiple of 68025 and 68036