What is the Greatest Common Factor of 24695 and 24710?

Greatest common factor (GCF) of 24695 and 24710 is 5.

GCF(24695,24710) = 5

We will now calculate the prime factors of 24695 and 24710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24695 and 24710.

How to find the GCF of 24695 and 24710?

We will first find the prime factorization of 24695 and 24710. After we will calculate the factors of 24695 and 24710 and find the biggest common factor number .

Step-1: Prime Factorization of 24695

Prime factors of 24695 are 5, 11, 449. Prime factorization of 24695 in exponential form is:

24695 = 5¹ × 11¹ × 449¹

Step-2: Prime Factorization of 24710

Prime factors of 24710 are 2, 5, 7, 353. Prime factorization of 24710 in exponential form is:

24710 = 2¹ × 5¹ × 7¹ × 353¹

Step-3: Factors of 24695

List of positive integer factors of 24695 that divides 24695 without a remainder.

1, 5, 11, 55, 449, 2245, 4939

Step-4: Factors of 24710

List of positive integer factors of 24710 that divides 24695 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 353, 706, 1765, 2471, 3530, 4942, 12355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24695 and 24710. The biggest common factor number is the GCF number.
So the greatest common factor 24695 and 24710 is 5.

Also check out the Least Common Multiple of 24695 and 24710