What is the Greatest Common Factor of 20964 and 20971?

Greatest common factor (GCF) of 20964 and 20971 is 1.

GCF(20964,20971) = 1

We will now calculate the prime factors of 20964 and 20971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20964 and 20971.

How to find the GCF of 20964 and 20971?

We will first find the prime factorization of 20964 and 20971. After we will calculate the factors of 20964 and 20971 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 20971

Prime factors of 20971 are 67, 313. Prime factorization of 20971 in exponential form is:

20971 = 67¹ × 313¹

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 20971

List of positive integer factors of 20971 that divides 20964 without a remainder.

1, 67, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20964 and 20971. The biggest common factor number is the GCF number.
So the greatest common factor 20964 and 20971 is 1.

Also check out the Least Common Multiple of 20964 and 20971