What is the Greatest Common Factor of 24762 and 24770?

Greatest common factor (GCF) of 24762 and 24770 is 2.

GCF(24762,24770) = 2

We will now calculate the prime factors of 24762 and 24770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24762 and 24770.

How to find the GCF of 24762 and 24770?

We will first find the prime factorization of 24762 and 24770. After we will calculate the factors of 24762 and 24770 and find the biggest common factor number .

Step-1: Prime Factorization of 24762

Prime factors of 24762 are 2, 3, 4127. Prime factorization of 24762 in exponential form is:

24762 = 2¹ × 3¹ × 4127¹

Step-2: Prime Factorization of 24770

Prime factors of 24770 are 2, 5, 2477. Prime factorization of 24770 in exponential form is:

24770 = 2¹ × 5¹ × 2477¹

Step-3: Factors of 24762

List of positive integer factors of 24762 that divides 24762 without a remainder.

1, 2, 3, 6, 4127, 8254, 12381

Step-4: Factors of 24770

List of positive integer factors of 24770 that divides 24762 without a remainder.

1, 2, 5, 10, 2477, 4954, 12385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24762 and 24770. The biggest common factor number is the GCF number.
So the greatest common factor 24762 and 24770 is 2.

Also check out the Least Common Multiple of 24762 and 24770