What is the Greatest Common Factor of 22995 and 23002?

Greatest common factor (GCF) of 22995 and 23002 is 7.

GCF(22995,23002) = 7

We will now calculate the prime factors of 22995 and 23002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22995 and 23002.

How to find the GCF of 22995 and 23002?

We will first find the prime factorization of 22995 and 23002. After we will calculate the factors of 22995 and 23002 and find the biggest common factor number .

Step-1: Prime Factorization of 22995

Prime factors of 22995 are 3, 5, 7, 73. Prime factorization of 22995 in exponential form is:

22995 = 3² × 5¹ × 7¹ × 73¹

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 22995

List of positive integer factors of 22995 that divides 22995 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 73, 105, 219, 315, 365, 511, 657, 1095, 1533, 2555, 3285, 4599, 7665

Step-4: Factors of 23002

List of positive integer factors of 23002 that divides 22995 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 22995 and 23002. The biggest common factor number is the GCF number.
So the greatest common factor 22995 and 23002 is 7.

Also check out the Least Common Multiple of 22995 and 23002