What is the Greatest Common Factor of 20940 and 20959?

Greatest common factor (GCF) of 20940 and 20959 is 1.

GCF(20940,20959) = 1

We will now calculate the prime factors of 20940 and 20959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20940 and 20959.

How to find the GCF of 20940 and 20959?

We will first find the prime factorization of 20940 and 20959. After we will calculate the factors of 20940 and 20959 and find the biggest common factor number .

Step-1: Prime Factorization of 20940

Prime factors of 20940 are 2, 3, 5, 349. Prime factorization of 20940 in exponential form is:

20940 = 2² × 3¹ × 5¹ × 349¹

Step-2: Prime Factorization of 20959

Prime factors of 20959 are 20959. Prime factorization of 20959 in exponential form is:

20959 = 20959¹

Step-3: Factors of 20940

List of positive integer factors of 20940 that divides 20940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 349, 698, 1047, 1396, 1745, 2094, 3490, 4188, 5235, 6980, 10470

Step-4: Factors of 20959

List of positive integer factors of 20959 that divides 20940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20940 and 20959. The biggest common factor number is the GCF number.
So the greatest common factor 20940 and 20959 is 1.

Also check out the Least Common Multiple of 20940 and 20959