What is the Greatest Common Factor of 46272 and 46276?

Greatest common factor (GCF) of 46272 and 46276 is 4.

GCF(46272,46276) = 4

We will now calculate the prime factors of 46272 and 46276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46272 and 46276.

How to find the GCF of 46272 and 46276?

We will first find the prime factorization of 46272 and 46276. After we will calculate the factors of 46272 and 46276 and find the biggest common factor number .

Step-1: Prime Factorization of 46272

Prime factors of 46272 are 2, 3, 241. Prime factorization of 46272 in exponential form is:

46272 = 2⁶ × 3¹ × 241¹

Step-2: Prime Factorization of 46276

Prime factors of 46276 are 2, 23, 503. Prime factorization of 46276 in exponential form is:

46276 = 2² × 23¹ × 503¹

Step-3: Factors of 46272

List of positive integer factors of 46272 that divides 46272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 241, 482, 723, 964, 1446, 1928, 2892, 3856, 5784, 7712, 11568, 15424, 23136

Step-4: Factors of 46276

List of positive integer factors of 46276 that divides 46272 without a remainder.

1, 2, 4, 23, 46, 92, 503, 1006, 2012, 11569, 23138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46272 and 46276. The biggest common factor number is the GCF number.
So the greatest common factor 46272 and 46276 is 4.

Also check out the Least Common Multiple of 46272 and 46276