What is the Greatest Common Factor of 20965 and 20971?

Greatest common factor (GCF) of 20965 and 20971 is 1.

GCF(20965,20971) = 1

We will now calculate the prime factors of 20965 and 20971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20965 and 20971.

How to find the GCF of 20965 and 20971?

We will first find the prime factorization of 20965 and 20971. After we will calculate the factors of 20965 and 20971 and find the biggest common factor number .

Step-1: Prime Factorization of 20965

Prime factors of 20965 are 5, 7, 599. Prime factorization of 20965 in exponential form is:

20965 = 5¹ × 7¹ × 599¹

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 20965

List of positive integer factors of 20965 that divides 20965 without a remainder.

1, 5, 7, 35, 599, 2995, 4193

Step-4: Factors of 20971

List of positive integer factors of 20971 that divides 20965 without a remainder.

1, 67, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20965 and 20971. The biggest common factor number is the GCF number.
So the greatest common factor 20965 and 20971 is 1.

Also check out the Least Common Multiple of 20965 and 20971