What is the Greatest Common Factor of 64332 and 64350?

Greatest common factor (GCF) of 64332 and 64350 is 18.

GCF(64332,64350) = 18

We will now calculate the prime factors of 64332 and 64350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64332 and 64350.

How to find the GCF of 64332 and 64350?

We will first find the prime factorization of 64332 and 64350. After we will calculate the factors of 64332 and 64350 and find the biggest common factor number .

Step-1: Prime Factorization of 64332

Prime factors of 64332 are 2, 3, 1787. Prime factorization of 64332 in exponential form is:

64332 = 2² × 3² × 1787¹

Step-2: Prime Factorization of 64350

Prime factors of 64350 are 2, 3, 5, 11, 13. Prime factorization of 64350 in exponential form is:

64350 = 2¹ × 3² × 5² × 11¹ × 13¹

Step-3: Factors of 64332

List of positive integer factors of 64332 that divides 64332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1787, 3574, 5361, 7148, 10722, 16083, 21444, 32166

Step-4: Factors of 64350

List of positive integer factors of 64350 that divides 64332 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 13, 15, 18, 22, 25, 26, 30, 33, 39, 45, 50, 55, 65, 66, 75, 78, 90, 99, 110, 117, 130, 143, 150, 165, 195, 198, 225, 234, 275, 286, 325, 330, 390, 429, 450, 495, 550, 585, 650, 715, 825, 858, 975, 990, 1170, 1287, 1430, 1650, 1950, 2145, 2475, 2574, 2925, 3575, 4290, 4950, 5850, 6435, 7150, 10725, 12870, 21450, 32175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64332 and 64350. The biggest common factor number is the GCF number.
So the greatest common factor 64332 and 64350 is 18.

Also check out the Least Common Multiple of 64332 and 64350