What is the Greatest Common Factor of 13700 and 13713?

Greatest common factor (GCF) of 13700 and 13713 is 1.

GCF(13700,13713) = 1

We will now calculate the prime factors of 13700 and 13713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13700 and 13713.

How to find the GCF of 13700 and 13713?

We will first find the prime factorization of 13700 and 13713. After we will calculate the factors of 13700 and 13713 and find the biggest common factor number .

Step-1: Prime Factorization of 13700

Prime factors of 13700 are 2, 5, 137. Prime factorization of 13700 in exponential form is:

13700 = 2² × 5² × 137¹

Step-2: Prime Factorization of 13713

Prime factors of 13713 are 3, 7, 653. Prime factorization of 13713 in exponential form is:

13713 = 3¹ × 7¹ × 653¹

Step-3: Factors of 13700

List of positive integer factors of 13700 that divides 13700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 137, 274, 548, 685, 1370, 2740, 3425, 6850

Step-4: Factors of 13713

List of positive integer factors of 13713 that divides 13700 without a remainder.

1, 3, 7, 21, 653, 1959, 4571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13700 and 13713. The biggest common factor number is the GCF number.
So the greatest common factor 13700 and 13713 is 1.

Also check out the Least Common Multiple of 13700 and 13713