What is the Greatest Common Factor of 88854 and 88860?

Greatest common factor (GCF) of 88854 and 88860 is 6.

GCF(88854,88860) = 6

We will now calculate the prime factors of 88854 and 88860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88854 and 88860.

How to find the GCF of 88854 and 88860?

We will first find the prime factorization of 88854 and 88860. After we will calculate the factors of 88854 and 88860 and find the biggest common factor number .

Step-1: Prime Factorization of 88854

Prime factors of 88854 are 2, 3, 59, 251. Prime factorization of 88854 in exponential form is:

88854 = 2¹ × 3¹ × 59¹ × 251¹

Step-2: Prime Factorization of 88860

Prime factors of 88860 are 2, 3, 5, 1481. Prime factorization of 88860 in exponential form is:

88860 = 2² × 3¹ × 5¹ × 1481¹

Step-3: Factors of 88854

List of positive integer factors of 88854 that divides 88854 without a remainder.

1, 2, 3, 6, 59, 118, 177, 251, 354, 502, 753, 1506, 14809, 29618, 44427

Step-4: Factors of 88860

List of positive integer factors of 88860 that divides 88854 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1481, 2962, 4443, 5924, 7405, 8886, 14810, 17772, 22215, 29620, 44430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88854 and 88860. The biggest common factor number is the GCF number.
So the greatest common factor 88854 and 88860 is 6.

Also check out the Least Common Multiple of 88854 and 88860