What is the Greatest Common Factor of 20985 and 20996?

Greatest common factor (GCF) of 20985 and 20996 is 1.

GCF(20985,20996) = 1

We will now calculate the prime factors of 20985 and 20996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20985 and 20996.

How to find the GCF of 20985 and 20996?

We will first find the prime factorization of 20985 and 20996. After we will calculate the factors of 20985 and 20996 and find the biggest common factor number .

Step-1: Prime Factorization of 20985

Prime factors of 20985 are 3, 5, 1399. Prime factorization of 20985 in exponential form is:

20985 = 3¹ × 5¹ × 1399¹

Step-2: Prime Factorization of 20996

Prime factors of 20996 are 2, 29, 181. Prime factorization of 20996 in exponential form is:

20996 = 2² × 29¹ × 181¹

Step-3: Factors of 20985

List of positive integer factors of 20985 that divides 20985 without a remainder.

1, 3, 5, 15, 1399, 4197, 6995

Step-4: Factors of 20996

List of positive integer factors of 20996 that divides 20985 without a remainder.

1, 2, 4, 29, 58, 116, 181, 362, 724, 5249, 10498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20985 and 20996. The biggest common factor number is the GCF number.
So the greatest common factor 20985 and 20996 is 1.

Also check out the Least Common Multiple of 20985 and 20996