What is the Greatest Common Factor of 24980 and 24985?

Greatest common factor (GCF) of 24980 and 24985 is 5.

GCF(24980,24985) = 5

We will now calculate the prime factors of 24980 and 24985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24980 and 24985.

How to find the GCF of 24980 and 24985?

We will first find the prime factorization of 24980 and 24985. After we will calculate the factors of 24980 and 24985 and find the biggest common factor number .

Step-1: Prime Factorization of 24980

Prime factors of 24980 are 2, 5, 1249. Prime factorization of 24980 in exponential form is:

24980 = 2² × 5¹ × 1249¹

Step-2: Prime Factorization of 24985

Prime factors of 24985 are 5, 19, 263. Prime factorization of 24985 in exponential form is:

24985 = 5¹ × 19¹ × 263¹

Step-3: Factors of 24980

List of positive integer factors of 24980 that divides 24980 without a remainder.

1, 2, 4, 5, 10, 20, 1249, 2498, 4996, 6245, 12490

Step-4: Factors of 24985

List of positive integer factors of 24985 that divides 24980 without a remainder.

1, 5, 19, 95, 263, 1315, 4997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24980 and 24985. The biggest common factor number is the GCF number.
So the greatest common factor 24980 and 24985 is 5.

Also check out the Least Common Multiple of 24980 and 24985