What is the Greatest Common Factor of 32464 and 32480?

Greatest common factor (GCF) of 32464 and 32480 is 16.

GCF(32464,32480) = 16

We will now calculate the prime factors of 32464 and 32480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32464 and 32480.

How to find the GCF of 32464 and 32480?

We will first find the prime factorization of 32464 and 32480. After we will calculate the factors of 32464 and 32480 and find the biggest common factor number .

Step-1: Prime Factorization of 32464

Prime factors of 32464 are 2, 2029. Prime factorization of 32464 in exponential form is:

32464 = 2⁴ × 2029¹

Step-2: Prime Factorization of 32480

Prime factors of 32480 are 2, 5, 7, 29. Prime factorization of 32480 in exponential form is:

32480 = 2⁵ × 5¹ × 7¹ × 29¹

Step-3: Factors of 32464

List of positive integer factors of 32464 that divides 32464 without a remainder.

1, 2, 4, 8, 16, 2029, 4058, 8116, 16232

Step-4: Factors of 32480

List of positive integer factors of 32480 that divides 32464 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 160, 203, 224, 232, 280, 290, 406, 464, 560, 580, 812, 928, 1015, 1120, 1160, 1624, 2030, 2320, 3248, 4060, 4640, 6496, 8120, 16240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32464 and 32480. The biggest common factor number is the GCF number.
So the greatest common factor 32464 and 32480 is 16.

Also check out the Least Common Multiple of 32464 and 32480