What is the Greatest Common Factor of 77009 and 77025?

Greatest common factor (GCF) of 77009 and 77025 is 1.

GCF(77009,77025) = 1

We will now calculate the prime factors of 77009 and 77025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77009 and 77025.

How to find the GCF of 77009 and 77025?

We will first find the prime factorization of 77009 and 77025. After we will calculate the factors of 77009 and 77025 and find the biggest common factor number .

Step-1: Prime Factorization of 77009

Prime factors of 77009 are 53, 1453. Prime factorization of 77009 in exponential form is:

77009 = 53¹ × 1453¹

Step-2: 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-3: Factors of 77009

List of positive integer factors of 77009 that divides 77009 without a remainder.

1, 53, 1453

Step-4: Factors of 77025

List of positive integer factors of 77025 that divides 77009 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77009 and 77025. The biggest common factor number is the GCF number.
So the greatest common factor 77009 and 77025 is 1.

Also check out the Least Common Multiple of 77009 and 77025