What is the Greatest Common Factor of 20940 and 20954?

Greatest common factor (GCF) of 20940 and 20954 is 2.

GCF(20940,20954) = 2

We will now calculate the prime factors of 20940 and 20954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20940 and 20954.

How to find the GCF of 20940 and 20954?

We will first find the prime factorization of 20940 and 20954. After we will calculate the factors of 20940 and 20954 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 20954

Prime factors of 20954 are 2, 10477. Prime factorization of 20954 in exponential form is:

20954 = 2¹ × 10477¹

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 20954

List of positive integer factors of 20954 that divides 20940 without a remainder.

1, 2, 10477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20940 and 20954. The biggest common factor number is the GCF number.
So the greatest common factor 20940 and 20954 is 2.

Also check out the Least Common Multiple of 20940 and 20954