What is the Greatest Common Factor of 46480 and 46496?

Greatest common factor (GCF) of 46480 and 46496 is 16.

GCF(46480,46496) = 16

We will now calculate the prime factors of 46480 and 46496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46480 and 46496.

How to find the GCF of 46480 and 46496?

We will first find the prime factorization of 46480 and 46496. After we will calculate the factors of 46480 and 46496 and find the biggest common factor number .

Step-1: Prime Factorization of 46480

Prime factors of 46480 are 2, 5, 7, 83. Prime factorization of 46480 in exponential form is:

46480 = 2⁴ × 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 46496

Prime factors of 46496 are 2, 1453. Prime factorization of 46496 in exponential form is:

46496 = 2⁵ × 1453¹

Step-3: Factors of 46480

List of positive integer factors of 46480 that divides 46480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 83, 112, 140, 166, 280, 332, 415, 560, 581, 664, 830, 1162, 1328, 1660, 2324, 2905, 3320, 4648, 5810, 6640, 9296, 11620, 23240

Step-4: Factors of 46496

List of positive integer factors of 46496 that divides 46480 without a remainder.

1, 2, 4, 8, 16, 32, 1453, 2906, 5812, 11624, 23248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46480 and 46496. The biggest common factor number is the GCF number.
So the greatest common factor 46480 and 46496 is 16.

Also check out the Least Common Multiple of 46480 and 46496