What is the Greatest Common Factor of 24955 and 24970?

Greatest common factor (GCF) of 24955 and 24970 is 5.

GCF(24955,24970) = 5

We will now calculate the prime factors of 24955 and 24970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24955 and 24970.

How to find the GCF of 24955 and 24970?

We will first find the prime factorization of 24955 and 24970. After we will calculate the factors of 24955 and 24970 and find the biggest common factor number .

Step-1: Prime Factorization of 24955

Prime factors of 24955 are 5, 7, 23, 31. Prime factorization of 24955 in exponential form is:

24955 = 5¹ × 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 24970

Prime factors of 24970 are 2, 5, 11, 227. Prime factorization of 24970 in exponential form is:

24970 = 2¹ × 5¹ × 11¹ × 227¹

Step-3: Factors of 24955

List of positive integer factors of 24955 that divides 24955 without a remainder.

1, 5, 7, 23, 31, 35, 115, 155, 161, 217, 713, 805, 1085, 3565, 4991

Step-4: Factors of 24970

List of positive integer factors of 24970 that divides 24955 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 227, 454, 1135, 2270, 2497, 4994, 12485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24955 and 24970. The biggest common factor number is the GCF number.
So the greatest common factor 24955 and 24970 is 5.

Also check out the Least Common Multiple of 24955 and 24970