What is the Greatest Common Factor of 66464 and 66476?

Greatest common factor (GCF) of 66464 and 66476 is 4.

GCF(66464,66476) = 4

We will now calculate the prime factors of 66464 and 66476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66464 and 66476.

How to find the GCF of 66464 and 66476?

We will first find the prime factorization of 66464 and 66476. After we will calculate the factors of 66464 and 66476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66476

Prime factors of 66476 are 2, 16619. Prime factorization of 66476 in exponential form is:

66476 = 2² × 16619¹

Step-3: Factors of 66464

List of positive integer factors of 66464 that divides 66464 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

Step-4: Factors of 66476

List of positive integer factors of 66476 that divides 66464 without a remainder.

1, 2, 4, 16619, 33238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66464 and 66476. The biggest common factor number is the GCF number.
So the greatest common factor 66464 and 66476 is 4.

Also check out the Least Common Multiple of 66464 and 66476