What is the Greatest Common Factor of 46272 and 46289?

Greatest common factor (GCF) of 46272 and 46289 is 1.

GCF(46272,46289) = 1

We will now calculate the prime factors of 46272 and 46289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46272 and 46289.

How to find the GCF of 46272 and 46289?

We will first find the prime factorization of 46272 and 46289. After we will calculate the factors of 46272 and 46289 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 46289

Prime factors of 46289 are 41, 1129. Prime factorization of 46289 in exponential form is:

46289 = 41¹ × 1129¹

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 46289

List of positive integer factors of 46289 that divides 46272 without a remainder.

1, 41, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46272 and 46289. The biggest common factor number is the GCF number.
So the greatest common factor 46272 and 46289 is 1.

Also check out the Least Common Multiple of 46272 and 46289