What is the Greatest Common Factor of 7725 and 7739?

Greatest common factor (GCF) of 7725 and 7739 is 1.

GCF(7725,7739) = 1

We will now calculate the prime factors of 7725 and 7739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7725 and 7739.

How to find the GCF of 7725 and 7739?

We will first find the prime factorization of 7725 and 7739. After we will calculate the factors of 7725 and 7739 and find the biggest common factor number .

Step-1: Prime Factorization of 7725

Prime factors of 7725 are 3, 5, 103. Prime factorization of 7725 in exponential form is:

7725 = 3¹ × 5² × 103¹

Step-2: Prime Factorization of 7739

Prime factors of 7739 are 71, 109. Prime factorization of 7739 in exponential form is:

7739 = 71¹ × 109¹

Step-3: Factors of 7725

List of positive integer factors of 7725 that divides 7725 without a remainder.

1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575

Step-4: Factors of 7739

List of positive integer factors of 7739 that divides 7725 without a remainder.

1, 71, 109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7725 and 7739. The biggest common factor number is the GCF number.
So the greatest common factor 7725 and 7739 is 1.

Also check out the Least Common Multiple of 7725 and 7739