What is the Greatest Common Factor of 20940 and 20950?

Greatest common factor (GCF) of 20940 and 20950 is 10.

GCF(20940,20950) = 10

We will now calculate the prime factors of 20940 and 20950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20940 and 20950.

How to find the GCF of 20940 and 20950?

We will first find the prime factorization of 20940 and 20950. After we will calculate the factors of 20940 and 20950 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 20950

Prime factors of 20950 are 2, 5, 419. Prime factorization of 20950 in exponential form is:

20950 = 2¹ × 5² × 419¹

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 20950

List of positive integer factors of 20950 that divides 20940 without a remainder.

1, 2, 5, 10, 25, 50, 419, 838, 2095, 4190, 10475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20940 and 20950. The biggest common factor number is the GCF number.
So the greatest common factor 20940 and 20950 is 10.

Also check out the Least Common Multiple of 20940 and 20950