What is the Greatest Common Factor of 46288 and 46307?

Greatest common factor (GCF) of 46288 and 46307 is 1.

GCF(46288,46307) = 1

We will now calculate the prime factors of 46288 and 46307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46288 and 46307.

How to find the GCF of 46288 and 46307?

We will first find the prime factorization of 46288 and 46307. After we will calculate the factors of 46288 and 46307 and find the biggest common factor number .

Step-1: Prime Factorization of 46288

Prime factors of 46288 are 2, 11, 263. Prime factorization of 46288 in exponential form is:

46288 = 2⁴ × 11¹ × 263¹

Step-2: Prime Factorization of 46307

Prime factors of 46307 are 46307. Prime factorization of 46307 in exponential form is:

46307 = 46307¹

Step-3: Factors of 46288

List of positive integer factors of 46288 that divides 46288 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 263, 526, 1052, 2104, 2893, 4208, 5786, 11572, 23144

Step-4: Factors of 46307

List of positive integer factors of 46307 that divides 46288 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46288 and 46307. The biggest common factor number is the GCF number.
So the greatest common factor 46288 and 46307 is 1.

Also check out the Least Common Multiple of 46288 and 46307