What is the Greatest Common Factor of 66448 and 66456?

Greatest common factor (GCF) of 66448 and 66456 is 8.

GCF(66448,66456) = 8

We will now calculate the prime factors of 66448 and 66456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66448 and 66456.

How to find the GCF of 66448 and 66456?

We will first find the prime factorization of 66448 and 66456. After we will calculate the factors of 66448 and 66456 and find the biggest common factor number .

Step-1: Prime Factorization of 66448

Prime factors of 66448 are 2, 4153. Prime factorization of 66448 in exponential form is:

66448 = 2⁴ × 4153¹

Step-2: 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-3: Factors of 66448

List of positive integer factors of 66448 that divides 66448 without a remainder.

1, 2, 4, 8, 16, 4153, 8306, 16612, 33224

Step-4: Factors of 66456

List of positive integer factors of 66456 that divides 66448 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66448 and 66456. The biggest common factor number is the GCF number.
So the greatest common factor 66448 and 66456 is 8.

Also check out the Least Common Multiple of 66448 and 66456