What is the Greatest Common Factor of 24760 and 24770?

Greatest common factor (GCF) of 24760 and 24770 is 10.

GCF(24760,24770) = 10

We will now calculate the prime factors of 24760 and 24770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24760 and 24770.

How to find the GCF of 24760 and 24770?

We will first find the prime factorization of 24760 and 24770. After we will calculate the factors of 24760 and 24770 and find the biggest common factor number .

Step-1: Prime Factorization of 24760

Prime factors of 24760 are 2, 5, 619. Prime factorization of 24760 in exponential form is:

24760 = 2³ × 5¹ × 619¹

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 24760

List of positive integer factors of 24760 that divides 24760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 619, 1238, 2476, 3095, 4952, 6190, 12380

Step-4: Factors of 24770

List of positive integer factors of 24770 that divides 24760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24760 and 24770. The biggest common factor number is the GCF number.
So the greatest common factor 24760 and 24770 is 10.

Also check out the Least Common Multiple of 24760 and 24770