What is the Greatest Common Factor of 21989 and 22007?

Greatest common factor (GCF) of 21989 and 22007 is 1.

GCF(21989,22007) = 1

We will now calculate the prime factors of 21989 and 22007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21989 and 22007.

How to find the GCF of 21989 and 22007?

We will first find the prime factorization of 21989 and 22007. After we will calculate the factors of 21989 and 22007 and find the biggest common factor number .

Step-1: Prime Factorization of 21989

Prime factors of 21989 are 11, 1999. Prime factorization of 21989 in exponential form is:

21989 = 11¹ × 1999¹

Step-2: Prime Factorization of 22007

Prime factors of 22007 are 59, 373. Prime factorization of 22007 in exponential form is:

22007 = 59¹ × 373¹

Step-3: Factors of 21989

List of positive integer factors of 21989 that divides 21989 without a remainder.

1, 11, 1999

Step-4: Factors of 22007

List of positive integer factors of 22007 that divides 21989 without a remainder.

1, 59, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21989 and 22007. The biggest common factor number is the GCF number.
So the greatest common factor 21989 and 22007 is 1.

Also check out the Least Common Multiple of 21989 and 22007