What is the Greatest Common Factor of 46298 and 46316?

Greatest common factor (GCF) of 46298 and 46316 is 2.

GCF(46298,46316) = 2

We will now calculate the prime factors of 46298 and 46316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46298 and 46316.

How to find the GCF of 46298 and 46316?

We will first find the prime factorization of 46298 and 46316. After we will calculate the factors of 46298 and 46316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46316

Prime factors of 46316 are 2, 11579. Prime factorization of 46316 in exponential form is:

46316 = 2² × 11579¹

Step-3: Factors of 46298

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

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

Step-4: Factors of 46316

List of positive integer factors of 46316 that divides 46298 without a remainder.

1, 2, 4, 11579, 23158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46298 and 46316. The biggest common factor number is the GCF number.
So the greatest common factor 46298 and 46316 is 2.

Also check out the Least Common Multiple of 46298 and 46316