What is the Greatest Common Factor of 46293 and 46298?

Greatest common factor (GCF) of 46293 and 46298 is 1.

GCF(46293,46298) = 1

We will now calculate the prime factors of 46293 and 46298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46293 and 46298.

How to find the GCF of 46293 and 46298?

We will first find the prime factorization of 46293 and 46298. After we will calculate the factors of 46293 and 46298 and find the biggest common factor number .

Step-1: Prime Factorization of 46293

Prime factors of 46293 are 3, 13, 1187. Prime factorization of 46293 in exponential form is:

46293 = 3¹ × 13¹ × 1187¹

Step-2: Prime Factorization of 46298

Prime factors of 46298 are 2, 7, 3307. Prime factorization of 46298 in exponential form is:

46298 = 2¹ × 7¹ × 3307¹

Step-3: Factors of 46293

List of positive integer factors of 46293 that divides 46293 without a remainder.

1, 3, 13, 39, 1187, 3561, 15431

Step-4: Factors of 46298

List of positive integer factors of 46298 that divides 46293 without a remainder.

1, 2, 7, 14, 3307, 6614, 23149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46293 and 46298. The biggest common factor number is the GCF number.
So the greatest common factor 46293 and 46298 is 1.

Also check out the Least Common Multiple of 46293 and 46298