What is the Greatest Common Factor of 91212 and 91224?

Greatest common factor (GCF) of 91212 and 91224 is 12.

GCF(91212,91224) = 12

We will now calculate the prime factors of 91212 and 91224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91212 and 91224.

How to find the GCF of 91212 and 91224?

We will first find the prime factorization of 91212 and 91224. After we will calculate the factors of 91212 and 91224 and find the biggest common factor number .

Step-1: Prime Factorization of 91212

Prime factors of 91212 are 2, 3, 11, 691. Prime factorization of 91212 in exponential form is:

91212 = 2² × 3¹ × 11¹ × 691¹

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 91212

List of positive integer factors of 91212 that divides 91212 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 691, 1382, 2073, 2764, 4146, 7601, 8292, 15202, 22803, 30404, 45606

Step-4: Factors of 91224

List of positive integer factors of 91224 that divides 91212 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 91212 and 91224. The biggest common factor number is the GCF number.
So the greatest common factor 91212 and 91224 is 12.

Also check out the Least Common Multiple of 91212 and 91224