What is the Greatest Common Factor of 24972 and 24990?

Greatest common factor (GCF) of 24972 and 24990 is 6.

GCF(24972,24990) = 6

We will now calculate the prime factors of 24972 and 24990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24972 and 24990.

How to find the GCF of 24972 and 24990?

We will first find the prime factorization of 24972 and 24990. After we will calculate the factors of 24972 and 24990 and find the biggest common factor number .

Step-1: Prime Factorization of 24972

Prime factors of 24972 are 2, 3, 2081. Prime factorization of 24972 in exponential form is:

24972 = 2² × 3¹ × 2081¹

Step-2: Prime Factorization of 24990

Prime factors of 24990 are 2, 3, 5, 7, 17. Prime factorization of 24990 in exponential form is:

24990 = 2¹ × 3¹ × 5¹ × 7² × 17¹

Step-3: Factors of 24972

List of positive integer factors of 24972 that divides 24972 without a remainder.

1, 2, 3, 4, 6, 12, 2081, 4162, 6243, 8324, 12486

Step-4: Factors of 24990

List of positive integer factors of 24990 that divides 24972 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 49, 51, 70, 85, 98, 102, 105, 119, 147, 170, 210, 238, 245, 255, 294, 357, 490, 510, 595, 714, 735, 833, 1190, 1470, 1666, 1785, 2499, 3570, 4165, 4998, 8330, 12495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24972 and 24990. The biggest common factor number is the GCF number.
So the greatest common factor 24972 and 24990 is 6.

Also check out the Least Common Multiple of 24972 and 24990