What is the Greatest Common Factor of 22984 and 22988?

Greatest common factor (GCF) of 22984 and 22988 is 4.

GCF(22984,22988) = 4

We will now calculate the prime factors of 22984 and 22988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22984 and 22988.

How to find the GCF of 22984 and 22988?

We will first find the prime factorization of 22984 and 22988. After we will calculate the factors of 22984 and 22988 and find the biggest common factor number .

Step-1: Prime Factorization of 22984

Prime factors of 22984 are 2, 13, 17. Prime factorization of 22984 in exponential form is:

22984 = 2³ × 13² × 17¹

Step-2: Prime Factorization of 22988

Prime factors of 22988 are 2, 7, 821. Prime factorization of 22988 in exponential form is:

22988 = 2² × 7¹ × 821¹

Step-3: Factors of 22984

List of positive integer factors of 22984 that divides 22984 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 169, 221, 338, 442, 676, 884, 1352, 1768, 2873, 5746, 11492

Step-4: Factors of 22988

List of positive integer factors of 22988 that divides 22984 without a remainder.

1, 2, 4, 7, 14, 28, 821, 1642, 3284, 5747, 11494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22984 and 22988. The biggest common factor number is the GCF number.
So the greatest common factor 22984 and 22988 is 4.

Also check out the Least Common Multiple of 22984 and 22988