What is the Greatest Common Factor of 20700 and 20712?

Greatest common factor (GCF) of 20700 and 20712 is 12.

GCF(20700,20712) = 12

We will now calculate the prime factors of 20700 and 20712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20700 and 20712.

How to find the GCF of 20700 and 20712?

We will first find the prime factorization of 20700 and 20712. After we will calculate the factors of 20700 and 20712 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 20712

Prime factors of 20712 are 2, 3, 863. Prime factorization of 20712 in exponential form is:

20712 = 2³ × 3¹ × 863¹

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 20712

List of positive integer factors of 20712 that divides 20700 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 863, 1726, 2589, 3452, 5178, 6904, 10356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20700 and 20712. The biggest common factor number is the GCF number.
So the greatest common factor 20700 and 20712 is 12.

Also check out the Least Common Multiple of 20700 and 20712