What is the Greatest Common Factor of 24860 and 24865?

Greatest common factor (GCF) of 24860 and 24865 is 5.

GCF(24860,24865) = 5

We will now calculate the prime factors of 24860 and 24865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24860 and 24865.

How to find the GCF of 24860 and 24865?

We will first find the prime factorization of 24860 and 24865. After we will calculate the factors of 24860 and 24865 and find the biggest common factor number .

Step-1: Prime Factorization of 24860

Prime factors of 24860 are 2, 5, 11, 113. Prime factorization of 24860 in exponential form is:

24860 = 2² × 5¹ × 11¹ × 113¹

Step-2: Prime Factorization of 24865

Prime factors of 24865 are 5, 4973. Prime factorization of 24865 in exponential form is:

24865 = 5¹ × 4973¹

Step-3: Factors of 24860

List of positive integer factors of 24860 that divides 24860 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 113, 220, 226, 452, 565, 1130, 1243, 2260, 2486, 4972, 6215, 12430

Step-4: Factors of 24865

List of positive integer factors of 24865 that divides 24860 without a remainder.

1, 5, 4973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24860 and 24865. The biggest common factor number is the GCF number.
So the greatest common factor 24860 and 24865 is 5.

Also check out the Least Common Multiple of 24860 and 24865