What is the Greatest Common Factor of 89340 and 89352?

Greatest common factor (GCF) of 89340 and 89352 is 12.

GCF(89340,89352) = 12

We will now calculate the prime factors of 89340 and 89352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89340 and 89352.

How to find the GCF of 89340 and 89352?

We will first find the prime factorization of 89340 and 89352. After we will calculate the factors of 89340 and 89352 and find the biggest common factor number .

Step-1: Prime Factorization of 89340

Prime factors of 89340 are 2, 3, 5, 1489. Prime factorization of 89340 in exponential form is:

89340 = 2² × 3¹ × 5¹ × 1489¹

Step-2: Prime Factorization of 89352

Prime factors of 89352 are 2, 3, 17, 73. Prime factorization of 89352 in exponential form is:

89352 = 2³ × 3² × 17¹ × 73¹

Step-3: Factors of 89340

List of positive integer factors of 89340 that divides 89340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1489, 2978, 4467, 5956, 7445, 8934, 14890, 17868, 22335, 29780, 44670

Step-4: Factors of 89352

List of positive integer factors of 89352 that divides 89340 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 73, 102, 136, 146, 153, 204, 219, 292, 306, 408, 438, 584, 612, 657, 876, 1224, 1241, 1314, 1752, 2482, 2628, 3723, 4964, 5256, 7446, 9928, 11169, 14892, 22338, 29784, 44676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89340 and 89352. The biggest common factor number is the GCF number.
So the greatest common factor 89340 and 89352 is 12.

Also check out the Least Common Multiple of 89340 and 89352