What is the Greatest Common Factor of 3725 and 3735?

Greatest common factor (GCF) of 3725 and 3735 is 5.

GCF(3725,3735) = 5

We will now calculate the prime factors of 3725 and 3735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3725 and 3735.

How to find the GCF of 3725 and 3735?

We will first find the prime factorization of 3725 and 3735. After we will calculate the factors of 3725 and 3735 and find the biggest common factor number .

Step-1: Prime Factorization of 3725

Prime factors of 3725 are 5, 149. Prime factorization of 3725 in exponential form is:

3725 = 5² × 149¹

Step-2: Prime Factorization of 3735

Prime factors of 3735 are 3, 5, 83. Prime factorization of 3735 in exponential form is:

3735 = 3² × 5¹ × 83¹

Step-3: Factors of 3725

List of positive integer factors of 3725 that divides 3725 without a remainder.

1, 5, 25, 149, 745

Step-4: Factors of 3735

List of positive integer factors of 3735 that divides 3725 without a remainder.

1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3725 and 3735. The biggest common factor number is the GCF number.
So the greatest common factor 3725 and 3735 is 5.

Also check out the Least Common Multiple of 3725 and 3735