What is the Greatest Common Factor of 77025 and 77041?

Greatest common factor (GCF) of 77025 and 77041 is 1.

GCF(77025,77041) = 1

We will now calculate the prime factors of 77025 and 77041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77025 and 77041.

How to find the GCF of 77025 and 77041?

We will first find the prime factorization of 77025 and 77041. After we will calculate the factors of 77025 and 77041 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 77041

Prime factors of 77041 are 77041. Prime factorization of 77041 in exponential form is:

77041 = 77041¹

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 77041

List of positive integer factors of 77041 that divides 77025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77025 and 77041. The biggest common factor number is the GCF number.
So the greatest common factor 77025 and 77041 is 1.

Also check out the Least Common Multiple of 77025 and 77041