What is the Greatest Common Factor of 76446 and 76464?

Greatest common factor (GCF) of 76446 and 76464 is 18.

GCF(76446,76464) = 18

We will now calculate the prime factors of 76446 and 76464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76446 and 76464.

How to find the GCF of 76446 and 76464?

We will first find the prime factorization of 76446 and 76464. After we will calculate the factors of 76446 and 76464 and find the biggest common factor number .

Step-1: Prime Factorization of 76446

Prime factors of 76446 are 2, 3, 31, 137. Prime factorization of 76446 in exponential form is:

76446 = 2¹ × 3² × 31¹ × 137¹

Step-2: Prime Factorization of 76464

Prime factors of 76464 are 2, 3, 59. Prime factorization of 76464 in exponential form is:

76464 = 2⁴ × 3⁴ × 59¹

Step-3: Factors of 76446

List of positive integer factors of 76446 that divides 76446 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 137, 186, 274, 279, 411, 558, 822, 1233, 2466, 4247, 8494, 12741, 25482, 38223

Step-4: Factors of 76464

List of positive integer factors of 76464 that divides 76446 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59, 72, 81, 108, 118, 144, 162, 177, 216, 236, 324, 354, 432, 472, 531, 648, 708, 944, 1062, 1296, 1416, 1593, 2124, 2832, 3186, 4248, 4779, 6372, 8496, 9558, 12744, 19116, 25488, 38232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76446 and 76464. The biggest common factor number is the GCF number.
So the greatest common factor 76446 and 76464 is 18.

Also check out the Least Common Multiple of 76446 and 76464