What is the Greatest Common Factor of 77025 and 77032?

Greatest common factor (GCF) of 77025 and 77032 is 1.

GCF(77025,77032) = 1

We will now calculate the prime factors of 77025 and 77032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77025 and 77032.

How to find the GCF of 77025 and 77032?

We will first find the prime factorization of 77025 and 77032. After we will calculate the factors of 77025 and 77032 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 77032

Prime factors of 77032 are 2, 9629. Prime factorization of 77032 in exponential form is:

77032 = 2³ × 9629¹

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 77032

List of positive integer factors of 77032 that divides 77025 without a remainder.

1, 2, 4, 8, 9629, 19258, 38516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77025 and 77032. The biggest common factor number is the GCF number.
So the greatest common factor 77025 and 77032 is 1.

Also check out the Least Common Multiple of 77025 and 77032