What is the Greatest Common Factor of 46476 and 46480?

Greatest common factor (GCF) of 46476 and 46480 is 4.

GCF(46476,46480) = 4

We will now calculate the prime factors of 46476 and 46480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46476 and 46480.

How to find the GCF of 46476 and 46480?

We will first find the prime factorization of 46476 and 46480. After we will calculate the factors of 46476 and 46480 and find the biggest common factor number .

Step-1: Prime Factorization of 46476

Prime factors of 46476 are 2, 3, 1291. Prime factorization of 46476 in exponential form is:

46476 = 2² × 3² × 1291¹

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 46476

List of positive integer factors of 46476 that divides 46476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1291, 2582, 3873, 5164, 7746, 11619, 15492, 23238

Step-4: Factors of 46480

List of positive integer factors of 46480 that divides 46476 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 46476 and 46480. The biggest common factor number is the GCF number.
So the greatest common factor 46476 and 46480 is 4.

Also check out the Least Common Multiple of 46476 and 46480