What is the Greatest Common Factor of 20940 and 20960?

Greatest common factor (GCF) of 20940 and 20960 is 20.

GCF(20940,20960) = 20

We will now calculate the prime factors of 20940 and 20960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20940 and 20960.

How to find the GCF of 20940 and 20960?

We will first find the prime factorization of 20940 and 20960. After we will calculate the factors of 20940 and 20960 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 20960

Prime factors of 20960 are 2, 5, 131. Prime factorization of 20960 in exponential form is:

20960 = 2⁵ × 5¹ × 131¹

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 20960

List of positive integer factors of 20960 that divides 20940 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 131, 160, 262, 524, 655, 1048, 1310, 2096, 2620, 4192, 5240, 10480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20940 and 20960. The biggest common factor number is the GCF number.
So the greatest common factor 20940 and 20960 is 20.

Also check out the Least Common Multiple of 20940 and 20960