What is the Greatest Common Factor of 20700 and 20713?

Greatest common factor (GCF) of 20700 and 20713 is 1.

GCF(20700,20713) = 1

We will now calculate the prime factors of 20700 and 20713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20700 and 20713.

How to find the GCF of 20700 and 20713?

We will first find the prime factorization of 20700 and 20713. After we will calculate the factors of 20700 and 20713 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 20713

Prime factors of 20713 are 7, 11, 269. Prime factorization of 20713 in exponential form is:

20713 = 7¹ × 11¹ × 269¹

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 20713

List of positive integer factors of 20713 that divides 20700 without a remainder.

1, 7, 11, 77, 269, 1883, 2959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20700 and 20713. The biggest common factor number is the GCF number.
So the greatest common factor 20700 and 20713 is 1.

Also check out the Least Common Multiple of 20700 and 20713