What is the Greatest Common Factor of 20700 and 20715?

Greatest common factor (GCF) of 20700 and 20715 is 15.

GCF(20700,20715) = 15

We will now calculate the prime factors of 20700 and 20715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20700 and 20715.

How to find the GCF of 20700 and 20715?

We will first find the prime factorization of 20700 and 20715. After we will calculate the factors of 20700 and 20715 and find the biggest common factor number .

Step-1: Prime Factorization of 20700

Prime factors of 20700 are 2, 3, 5, 23. Prime factorization of 20700 in exponential form is:

20700 = 2² × 3² × 5² × 23¹

Step-2: Prime Factorization of 20715

Prime factors of 20715 are 3, 5, 1381. Prime factorization of 20715 in exponential form is:

20715 = 3¹ × 5¹ × 1381¹

Step-3: Factors of 20700

List of positive integer factors of 20700 that divides 20700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 30, 36, 45, 46, 50, 60, 69, 75, 90, 92, 100, 115, 138, 150, 180, 207, 225, 230, 276, 300, 345, 414, 450, 460, 575, 690, 828, 900, 1035, 1150, 1380, 1725, 2070, 2300, 3450, 4140, 5175, 6900, 10350

Step-4: Factors of 20715

List of positive integer factors of 20715 that divides 20700 without a remainder.

1, 3, 5, 15, 1381, 4143, 6905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20700 and 20715. The biggest common factor number is the GCF number.
So the greatest common factor 20700 and 20715 is 15.

Also check out the Least Common Multiple of 20700 and 20715