What is the Greatest Common Factor of 77025 and 77037?

Greatest common factor (GCF) of 77025 and 77037 is 3.

GCF(77025,77037) = 3

We will now calculate the prime factors of 77025 and 77037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77025 and 77037.

How to find the GCF of 77025 and 77037?

We will first find the prime factorization of 77025 and 77037. After we will calculate the factors of 77025 and 77037 and find the biggest common factor number .

Step-1: Prime Factorization of 77025

Prime factors of 77025 are 3, 5, 13, 79. Prime factorization of 77025 in exponential form is:

77025 = 3¹ × 5² × 13¹ × 79¹

Step-2: Prime Factorization of 77037

Prime factors of 77037 are 3, 25679. Prime factorization of 77037 in exponential form is:

77037 = 3¹ × 25679¹

Step-3: Factors of 77025

List of positive integer factors of 77025 that divides 77025 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 79, 195, 237, 325, 395, 975, 1027, 1185, 1975, 3081, 5135, 5925, 15405, 25675

Step-4: Factors of 77037

List of positive integer factors of 77037 that divides 77025 without a remainder.

1, 3, 25679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77025 and 77037. The biggest common factor number is the GCF number.
So the greatest common factor 77025 and 77037 is 3.

Also check out the Least Common Multiple of 77025 and 77037