What is the Greatest Common Factor of 91224 and 91239?

Greatest common factor (GCF) of 91224 and 91239 is 3.

GCF(91224,91239) = 3

We will now calculate the prime factors of 91224 and 91239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91224 and 91239.

How to find the GCF of 91224 and 91239?

We will first find the prime factorization of 91224 and 91239. After we will calculate the factors of 91224 and 91239 and find the biggest common factor number .

Step-1: Prime Factorization of 91224

Prime factors of 91224 are 2, 3, 7, 181. Prime factorization of 91224 in exponential form is:

91224 = 2³ × 3² × 7¹ × 181¹

Step-2: Prime Factorization of 91239

Prime factors of 91239 are 3, 17, 1789. Prime factorization of 91239 in exponential form is:

91239 = 3¹ × 17¹ × 1789¹

Step-3: Factors of 91224

List of positive integer factors of 91224 that divides 91224 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 181, 252, 362, 504, 543, 724, 1086, 1267, 1448, 1629, 2172, 2534, 3258, 3801, 4344, 5068, 6516, 7602, 10136, 11403, 13032, 15204, 22806, 30408, 45612

Step-4: Factors of 91239

List of positive integer factors of 91239 that divides 91224 without a remainder.

1, 3, 17, 51, 1789, 5367, 30413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91224 and 91239. The biggest common factor number is the GCF number.
So the greatest common factor 91224 and 91239 is 3.

Also check out the Least Common Multiple of 91224 and 91239