What is the Greatest Common Factor of 91224 and 91230?

Greatest common factor (GCF) of 91224 and 91230 is 6.

GCF(91224,91230) = 6

We will now calculate the prime factors of 91224 and 91230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91224 and 91230.

How to find the GCF of 91224 and 91230?

We will first find the prime factorization of 91224 and 91230. After we will calculate the factors of 91224 and 91230 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 91230

Prime factors of 91230 are 2, 3, 5, 3041. Prime factorization of 91230 in exponential form is:

91230 = 2¹ × 3¹ × 5¹ × 3041¹

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 91230

List of positive integer factors of 91230 that divides 91224 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3041, 6082, 9123, 15205, 18246, 30410, 45615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91224 and 91230. The biggest common factor number is the GCF number.
So the greatest common factor 91224 and 91230 is 6.

Also check out the Least Common Multiple of 91224 and 91230