What is the Greatest Common Factor of 64476 and 64496?

Greatest common factor (GCF) of 64476 and 64496 is 4.

GCF(64476,64496) = 4

We will now calculate the prime factors of 64476 and 64496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64476 and 64496.

How to find the GCF of 64476 and 64496?

We will first find the prime factorization of 64476 and 64496. After we will calculate the factors of 64476 and 64496 and find the biggest common factor number .

Step-1: Prime Factorization of 64476

Prime factors of 64476 are 2, 3, 199. Prime factorization of 64476 in exponential form is:

64476 = 2² × 3⁴ × 199¹

Step-2: Prime Factorization of 64496

Prime factors of 64496 are 2, 29, 139. Prime factorization of 64496 in exponential form is:

64496 = 2⁴ × 29¹ × 139¹

Step-3: Factors of 64476

List of positive integer factors of 64476 that divides 64476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 199, 324, 398, 597, 796, 1194, 1791, 2388, 3582, 5373, 7164, 10746, 16119, 21492, 32238

Step-4: Factors of 64496

List of positive integer factors of 64496 that divides 64476 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 139, 232, 278, 464, 556, 1112, 2224, 4031, 8062, 16124, 32248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64476 and 64496. The biggest common factor number is the GCF number.
So the greatest common factor 64476 and 64496 is 4.

Also check out the Least Common Multiple of 64476 and 64496