What is the Greatest Common Factor of 21994 and 22001?

Greatest common factor (GCF) of 21994 and 22001 is 7.

GCF(21994,22001) = 7

We will now calculate the prime factors of 21994 and 22001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21994 and 22001.

How to find the GCF of 21994 and 22001?

We will first find the prime factorization of 21994 and 22001. After we will calculate the factors of 21994 and 22001 and find the biggest common factor number .

Step-1: Prime Factorization of 21994

Prime factors of 21994 are 2, 7, 1571. Prime factorization of 21994 in exponential form is:

21994 = 2¹ × 7¹ × 1571¹

Step-2: Prime Factorization of 22001

Prime factors of 22001 are 7, 449. Prime factorization of 22001 in exponential form is:

22001 = 7² × 449¹

Step-3: Factors of 21994

List of positive integer factors of 21994 that divides 21994 without a remainder.

1, 2, 7, 14, 1571, 3142, 10997

Step-4: Factors of 22001

List of positive integer factors of 22001 that divides 21994 without a remainder.

1, 7, 49, 449, 3143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21994 and 22001. The biggest common factor number is the GCF number.
So the greatest common factor 21994 and 22001 is 7.

Also check out the Least Common Multiple of 21994 and 22001