What is the Greatest Common Factor of 66454 and 66464?

Greatest common factor (GCF) of 66454 and 66464 is 2.

GCF(66454,66464) = 2

We will now calculate the prime factors of 66454 and 66464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66454 and 66464.

How to find the GCF of 66454 and 66464?

We will first find the prime factorization of 66454 and 66464. After we will calculate the factors of 66454 and 66464 and find the biggest common factor number .

Step-1: Prime Factorization of 66454

Prime factors of 66454 are 2, 149, 223. Prime factorization of 66454 in exponential form is:

66454 = 2¹ × 149¹ × 223¹

Step-2: Prime Factorization of 66464

Prime factors of 66464 are 2, 31, 67. Prime factorization of 66464 in exponential form is:

66464 = 2⁵ × 31¹ × 67¹

Step-3: Factors of 66454

List of positive integer factors of 66454 that divides 66454 without a remainder.

1, 2, 149, 223, 298, 446, 33227

Step-4: Factors of 66464

List of positive integer factors of 66464 that divides 66454 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 67, 124, 134, 248, 268, 496, 536, 992, 1072, 2077, 2144, 4154, 8308, 16616, 33232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66454 and 66464. The biggest common factor number is the GCF number.
So the greatest common factor 66454 and 66464 is 2.

Also check out the Least Common Multiple of 66454 and 66464