What is the Greatest Common Factor of 24978 and 24984?

Greatest common factor (GCF) of 24978 and 24984 is 6.

GCF(24978,24984) = 6

We will now calculate the prime factors of 24978 and 24984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24978 and 24984.

How to find the GCF of 24978 and 24984?

We will first find the prime factorization of 24978 and 24984. After we will calculate the factors of 24978 and 24984 and find the biggest common factor number .

Step-1: Prime Factorization of 24978

Prime factors of 24978 are 2, 3, 23, 181. Prime factorization of 24978 in exponential form is:

24978 = 2¹ × 3¹ × 23¹ × 181¹

Step-2: Prime Factorization of 24984

Prime factors of 24984 are 2, 3, 347. Prime factorization of 24984 in exponential form is:

24984 = 2³ × 3² × 347¹

Step-3: Factors of 24978

List of positive integer factors of 24978 that divides 24978 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 181, 362, 543, 1086, 4163, 8326, 12489

Step-4: Factors of 24984

List of positive integer factors of 24984 that divides 24978 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 6246, 8328, 12492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24978 and 24984. The biggest common factor number is the GCF number.
So the greatest common factor 24978 and 24984 is 6.

Also check out the Least Common Multiple of 24978 and 24984