What is the Greatest Common Factor of 24605 and 24612?

Greatest common factor (GCF) of 24605 and 24612 is 7.

GCF(24605,24612) = 7

We will now calculate the prime factors of 24605 and 24612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24605 and 24612.

How to find the GCF of 24605 and 24612?

We will first find the prime factorization of 24605 and 24612. After we will calculate the factors of 24605 and 24612 and find the biggest common factor number .

Step-1: Prime Factorization of 24605

Prime factors of 24605 are 5, 7, 19, 37. Prime factorization of 24605 in exponential form is:

24605 = 5¹ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 24612

Prime factors of 24612 are 2, 3, 7, 293. Prime factorization of 24612 in exponential form is:

24612 = 2² × 3¹ × 7¹ × 293¹

Step-3: Factors of 24605

List of positive integer factors of 24605 that divides 24605 without a remainder.

1, 5, 7, 19, 35, 37, 95, 133, 185, 259, 665, 703, 1295, 3515, 4921

Step-4: Factors of 24612

List of positive integer factors of 24612 that divides 24605 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 293, 586, 879, 1172, 1758, 2051, 3516, 4102, 6153, 8204, 12306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24605 and 24612. The biggest common factor number is the GCF number.
So the greatest common factor 24605 and 24612 is 7.

Also check out the Least Common Multiple of 24605 and 24612