What is the Greatest Common Factor of 77025 and 77038?

Greatest common factor (GCF) of 77025 and 77038 is 13.

GCF(77025,77038) = 13

We will now calculate the prime factors of 77025 and 77038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77025 and 77038.

How to find the GCF of 77025 and 77038?

We will first find the prime factorization of 77025 and 77038. After we will calculate the factors of 77025 and 77038 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 77038

Prime factors of 77038 are 2, 13, 2963. Prime factorization of 77038 in exponential form is:

77038 = 2¹ × 13¹ × 2963¹

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 77038

List of positive integer factors of 77038 that divides 77025 without a remainder.

1, 2, 13, 26, 2963, 5926, 38519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77025 and 77038. The biggest common factor number is the GCF number.
So the greatest common factor 77025 and 77038 is 13.

Also check out the Least Common Multiple of 77025 and 77038