What is the Greatest Common Factor of 20964 and 20968?

Greatest common factor (GCF) of 20964 and 20968 is 4.

GCF(20964,20968) = 4

We will now calculate the prime factors of 20964 and 20968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20964 and 20968.

How to find the GCF of 20964 and 20968?

We will first find the prime factorization of 20964 and 20968. After we will calculate the factors of 20964 and 20968 and find the biggest common factor number .

Step-1: Prime Factorization of 20964

Prime factors of 20964 are 2, 3, 1747. Prime factorization of 20964 in exponential form is:

20964 = 2² × 3¹ × 1747¹

Step-2: Prime Factorization of 20968

Prime factors of 20968 are 2, 2621. Prime factorization of 20968 in exponential form is:

20968 = 2³ × 2621¹

Step-3: Factors of 20964

List of positive integer factors of 20964 that divides 20964 without a remainder.

1, 2, 3, 4, 6, 12, 1747, 3494, 5241, 6988, 10482

Step-4: Factors of 20968

List of positive integer factors of 20968 that divides 20964 without a remainder.

1, 2, 4, 8, 2621, 5242, 10484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20964 and 20968. The biggest common factor number is the GCF number.
So the greatest common factor 20964 and 20968 is 4.

Also check out the Least Common Multiple of 20964 and 20968