What is the Greatest Common Factor of 46475 and 46480?

Greatest common factor (GCF) of 46475 and 46480 is 5.

GCF(46475,46480) = 5

We will now calculate the prime factors of 46475 and 46480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46475 and 46480.

How to find the GCF of 46475 and 46480?

We will first find the prime factorization of 46475 and 46480. After we will calculate the factors of 46475 and 46480 and find the biggest common factor number .

Step-1: Prime Factorization of 46475

Prime factors of 46475 are 5, 11, 13. Prime factorization of 46475 in exponential form is:

46475 = 5² × 11¹ × 13²

Step-2: 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-3: Factors of 46475

List of positive integer factors of 46475 that divides 46475 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 169, 275, 325, 715, 845, 1859, 3575, 4225, 9295

Step-4: Factors of 46480

List of positive integer factors of 46480 that divides 46475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46475 and 46480. The biggest common factor number is the GCF number.
So the greatest common factor 46475 and 46480 is 5.

Also check out the Least Common Multiple of 46475 and 46480