What is the Greatest Common Factor of 13725 and 13736?

Greatest common factor (GCF) of 13725 and 13736 is 1.

GCF(13725,13736) = 1

We will now calculate the prime factors of 13725 and 13736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13725 and 13736.

How to find the GCF of 13725 and 13736?

We will first find the prime factorization of 13725 and 13736. After we will calculate the factors of 13725 and 13736 and find the biggest common factor number .

Step-1: Prime Factorization of 13725

Prime factors of 13725 are 3, 5, 61. Prime factorization of 13725 in exponential form is:

13725 = 3² × 5² × 61¹

Step-2: Prime Factorization of 13736

Prime factors of 13736 are 2, 17, 101. Prime factorization of 13736 in exponential form is:

13736 = 2³ × 17¹ × 101¹

Step-3: Factors of 13725

List of positive integer factors of 13725 that divides 13725 without a remainder.

1, 3, 5, 9, 15, 25, 45, 61, 75, 183, 225, 305, 549, 915, 1525, 2745, 4575

Step-4: Factors of 13736

List of positive integer factors of 13736 that divides 13725 without a remainder.

1, 2, 4, 8, 17, 34, 68, 101, 136, 202, 404, 808, 1717, 3434, 6868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13725 and 13736. The biggest common factor number is the GCF number.
So the greatest common factor 13725 and 13736 is 1.

Also check out the Least Common Multiple of 13725 and 13736