What is the Greatest Common Factor of 66456 and 66474?

Greatest common factor (GCF) of 66456 and 66474 is 18.

GCF(66456,66474) = 18

We will now calculate the prime factors of 66456 and 66474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66456 and 66474.

How to find the GCF of 66456 and 66474?

We will first find the prime factorization of 66456 and 66474. After we will calculate the factors of 66456 and 66474 and find the biggest common factor number .

Step-1: Prime Factorization of 66456

Prime factors of 66456 are 2, 3, 13, 71. Prime factorization of 66456 in exponential form is:

66456 = 2³ × 3² × 13¹ × 71¹

Step-2: Prime Factorization of 66474

Prime factors of 66474 are 2, 3, 1231. Prime factorization of 66474 in exponential form is:

66474 = 2¹ × 3³ × 1231¹

Step-3: Factors of 66456

List of positive integer factors of 66456 that divides 66456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 71, 72, 78, 104, 117, 142, 156, 213, 234, 284, 312, 426, 468, 568, 639, 852, 923, 936, 1278, 1704, 1846, 2556, 2769, 3692, 5112, 5538, 7384, 8307, 11076, 16614, 22152, 33228

Step-4: Factors of 66474

List of positive integer factors of 66474 that divides 66456 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1231, 2462, 3693, 7386, 11079, 22158, 33237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66456 and 66474. The biggest common factor number is the GCF number.
So the greatest common factor 66456 and 66474 is 18.

Also check out the Least Common Multiple of 66456 and 66474