What is the Greatest Common Factor of 64480 and 64496?

Greatest common factor (GCF) of 64480 and 64496 is 16.

GCF(64480,64496) = 16

We will now calculate the prime factors of 64480 and 64496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64480 and 64496.

How to find the GCF of 64480 and 64496?

We will first find the prime factorization of 64480 and 64496. After we will calculate the factors of 64480 and 64496 and find the biggest common factor number .

Step-1: Prime Factorization of 64480

Prime factors of 64480 are 2, 5, 13, 31. Prime factorization of 64480 in exponential form is:

64480 = 2⁵ × 5¹ × 13¹ × 31¹

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 64480

List of positive integer factors of 64480 that divides 64480 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 32, 40, 52, 62, 65, 80, 104, 124, 130, 155, 160, 208, 248, 260, 310, 403, 416, 496, 520, 620, 806, 992, 1040, 1240, 1612, 2015, 2080, 2480, 3224, 4030, 4960, 6448, 8060, 12896, 16120, 32240

Step-4: Factors of 64496

List of positive integer factors of 64496 that divides 64480 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 64480 and 64496. The biggest common factor number is the GCF number.
So the greatest common factor 64480 and 64496 is 16.

Also check out the Least Common Multiple of 64480 and 64496