What is the Greatest Common Factor of 14700 and 14713?

Greatest common factor (GCF) of 14700 and 14713 is 1.

GCF(14700,14713) = 1

We will now calculate the prime factors of 14700 and 14713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14700 and 14713.

How to find the GCF of 14700 and 14713?

We will first find the prime factorization of 14700 and 14713. After we will calculate the factors of 14700 and 14713 and find the biggest common factor number .

Step-1: Prime Factorization of 14700

Prime factors of 14700 are 2, 3, 5, 7. Prime factorization of 14700 in exponential form is:

14700 = 2² × 3¹ × 5² × 7²

Step-2: Prime Factorization of 14713

Prime factors of 14713 are 14713. Prime factorization of 14713 in exponential form is:

14713 = 14713¹

Step-3: Factors of 14700

List of positive integer factors of 14700 that divides 14700 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 49, 50, 60, 70, 75, 84, 98, 100, 105, 140, 147, 150, 175, 196, 210, 245, 294, 300, 350, 420, 490, 525, 588, 700, 735, 980, 1050, 1225, 1470, 2100, 2450, 2940, 3675, 4900, 7350

Step-4: Factors of 14713

List of positive integer factors of 14713 that divides 14700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14700 and 14713. The biggest common factor number is the GCF number.
So the greatest common factor 14700 and 14713 is 1.

Also check out the Least Common Multiple of 14700 and 14713