What is the Greatest Common Factor of 21983 and 22003?

Greatest common factor (GCF) of 21983 and 22003 is 1.

GCF(21983,22003) = 1

We will now calculate the prime factors of 21983 and 22003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21983 and 22003.

How to find the GCF of 21983 and 22003?

We will first find the prime factorization of 21983 and 22003. After we will calculate the factors of 21983 and 22003 and find the biggest common factor number .

Step-1: Prime Factorization of 21983

Prime factors of 21983 are 13, 19, 89. Prime factorization of 21983 in exponential form is:

21983 = 13¹ × 19¹ × 89¹

Step-2: Prime Factorization of 22003

Prime factors of 22003 are 22003. Prime factorization of 22003 in exponential form is:

22003 = 22003¹

Step-3: Factors of 21983

List of positive integer factors of 21983 that divides 21983 without a remainder.

1, 13, 19, 89, 247, 1157, 1691

Step-4: Factors of 22003

List of positive integer factors of 22003 that divides 21983 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21983 and 22003. The biggest common factor number is the GCF number.
So the greatest common factor 21983 and 22003 is 1.

Also check out the Least Common Multiple of 21983 and 22003