What is the Greatest Common Factor of 91209 and 91224?

Greatest common factor (GCF) of 91209 and 91224 is 3.

GCF(91209,91224) = 3

We will now calculate the prime factors of 91209 and 91224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91209 and 91224.

How to find the GCF of 91209 and 91224?

We will first find the prime factorization of 91209 and 91224. After we will calculate the factors of 91209 and 91224 and find the biggest common factor number .

Step-1: Prime Factorization of 91209

Prime factors of 91209 are 3, 30403. Prime factorization of 91209 in exponential form is:

91209 = 3¹ × 30403¹

Step-2: 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-3: Factors of 91209

List of positive integer factors of 91209 that divides 91209 without a remainder.

1, 3, 30403

Step-4: Factors of 91224

List of positive integer factors of 91224 that divides 91209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91209 and 91224. The biggest common factor number is the GCF number.
So the greatest common factor 91209 and 91224 is 3.

Also check out the Least Common Multiple of 91209 and 91224