What is the Greatest Common Factor of 52860 and 52865?

Greatest common factor (GCF) of 52860 and 52865 is 5.

GCF(52860,52865) = 5

We will now calculate the prime factors of 52860 and 52865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52860 and 52865.

How to find the GCF of 52860 and 52865?

We will first find the prime factorization of 52860 and 52865. After we will calculate the factors of 52860 and 52865 and find the biggest common factor number .

Step-1: Prime Factorization of 52860

Prime factors of 52860 are 2, 3, 5, 881. Prime factorization of 52860 in exponential form is:

52860 = 2² × 3¹ × 5¹ × 881¹

Step-2: Prime Factorization of 52865

Prime factors of 52865 are 5, 97, 109. Prime factorization of 52865 in exponential form is:

52865 = 5¹ × 97¹ × 109¹

Step-3: Factors of 52860

List of positive integer factors of 52860 that divides 52860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 881, 1762, 2643, 3524, 4405, 5286, 8810, 10572, 13215, 17620, 26430

Step-4: Factors of 52865

List of positive integer factors of 52865 that divides 52860 without a remainder.

1, 5, 97, 109, 485, 545, 10573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52860 and 52865. The biggest common factor number is the GCF number.
So the greatest common factor 52860 and 52865 is 5.

Also check out the Least Common Multiple of 52860 and 52865