What is the Greatest Common Factor of 66456 and 66462?

Greatest common factor (GCF) of 66456 and 66462 is 6.

GCF(66456,66462) = 6

We will now calculate the prime factors of 66456 and 66462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66456 and 66462.

How to find the GCF of 66456 and 66462?

We will first find the prime factorization of 66456 and 66462. After we will calculate the factors of 66456 and 66462 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 66462

Prime factors of 66462 are 2, 3, 11, 19, 53. Prime factorization of 66462 in exponential form is:

66462 = 2¹ × 3¹ × 11¹ × 19¹ × 53¹

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 66462

List of positive integer factors of 66462 that divides 66456 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 53, 57, 66, 106, 114, 159, 209, 318, 418, 583, 627, 1007, 1166, 1254, 1749, 2014, 3021, 3498, 6042, 11077, 22154, 33231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66456 and 66462. The biggest common factor number is the GCF number.
So the greatest common factor 66456 and 66462 is 6.

Also check out the Least Common Multiple of 66456 and 66462