What is the Greatest Common Factor of 46295 and 46307?

Greatest common factor (GCF) of 46295 and 46307 is 1.

GCF(46295,46307) = 1

We will now calculate the prime factors of 46295 and 46307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46295 and 46307.

How to find the GCF of 46295 and 46307?

We will first find the prime factorization of 46295 and 46307. After we will calculate the factors of 46295 and 46307 and find the biggest common factor number .

Step-1: Prime Factorization of 46295

Prime factors of 46295 are 5, 47, 197. Prime factorization of 46295 in exponential form is:

46295 = 5¹ × 47¹ × 197¹

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 46295

List of positive integer factors of 46295 that divides 46295 without a remainder.

1, 5, 47, 197, 235, 985, 9259

Step-4: Factors of 46307

List of positive integer factors of 46307 that divides 46295 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46295 and 46307. The biggest common factor number is the GCF number.
So the greatest common factor 46295 and 46307 is 1.

Also check out the Least Common Multiple of 46295 and 46307