What is the Greatest Common Factor of 14700 and 14711?

Greatest common factor (GCF) of 14700 and 14711 is 1.

GCF(14700,14711) = 1

We will now calculate the prime factors of 14700 and 14711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14700 and 14711.

How to find the GCF of 14700 and 14711?

We will first find the prime factorization of 14700 and 14711. After we will calculate the factors of 14700 and 14711 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 14711

Prime factors of 14711 are 47, 313. Prime factorization of 14711 in exponential form is:

14711 = 47¹ × 313¹

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 14711

List of positive integer factors of 14711 that divides 14700 without a remainder.

1, 47, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14700 and 14711. The biggest common factor number is the GCF number.
So the greatest common factor 14700 and 14711 is 1.

Also check out the Least Common Multiple of 14700 and 14711