What is the Greatest Common Factor of 22998 and 23002?

Greatest common factor (GCF) of 22998 and 23002 is 2.

GCF(22998,23002) = 2

We will now calculate the prime factors of 22998 and 23002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22998 and 23002.

How to find the GCF of 22998 and 23002?

We will first find the prime factorization of 22998 and 23002. After we will calculate the factors of 22998 and 23002 and find the biggest common factor number .

Step-1: Prime Factorization of 22998

Prime factors of 22998 are 2, 3, 3833. Prime factorization of 22998 in exponential form is:

22998 = 2¹ × 3¹ × 3833¹

Step-2: Prime Factorization of 23002

Prime factors of 23002 are 2, 7, 31, 53. Prime factorization of 23002 in exponential form is:

23002 = 2¹ × 7¹ × 31¹ × 53¹

Step-3: Factors of 22998

List of positive integer factors of 22998 that divides 22998 without a remainder.

1, 2, 3, 6, 3833, 7666, 11499

Step-4: Factors of 23002

List of positive integer factors of 23002 that divides 22998 without a remainder.

1, 2, 7, 14, 31, 53, 62, 106, 217, 371, 434, 742, 1643, 3286, 11501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22998 and 23002. The biggest common factor number is the GCF number.
So the greatest common factor 22998 and 23002 is 2.

Also check out the Least Common Multiple of 22998 and 23002