What is the Greatest Common Factor of 96228 and 96239?

Greatest common factor (GCF) of 96228 and 96239 is 11.

GCF(96228,96239) = 11

We will now calculate the prime factors of 96228 and 96239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96228 and 96239.

How to find the GCF of 96228 and 96239?

We will first find the prime factorization of 96228 and 96239. After we will calculate the factors of 96228 and 96239 and find the biggest common factor number .

Step-1: Prime Factorization of 96228

Prime factors of 96228 are 2, 3, 11. Prime factorization of 96228 in exponential form is:

96228 = 2² × 3⁷ × 11¹

Step-2: Prime Factorization of 96239

Prime factors of 96239 are 11, 13, 673. Prime factorization of 96239 in exponential form is:

96239 = 11¹ × 13¹ × 673¹

Step-3: Factors of 96228

List of positive integer factors of 96228 that divides 96228 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 243, 297, 324, 396, 486, 594, 729, 891, 972, 1188, 1458, 1782, 2187, 2673, 2916, 3564, 4374, 5346, 8019, 8748, 10692, 16038, 24057, 32076, 48114

Step-4: Factors of 96239

List of positive integer factors of 96239 that divides 96228 without a remainder.

1, 11, 13, 143, 673, 7403, 8749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96228 and 96239. The biggest common factor number is the GCF number.
So the greatest common factor 96228 and 96239 is 11.

Also check out the Least Common Multiple of 96228 and 96239