What is the Greatest Common Factor of 46266 and 46274?

Greatest common factor (GCF) of 46266 and 46274 is 2.

GCF(46266,46274) = 2

We will now calculate the prime factors of 46266 and 46274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46266 and 46274.

How to find the GCF of 46266 and 46274?

We will first find the prime factorization of 46266 and 46274. After we will calculate the factors of 46266 and 46274 and find the biggest common factor number .

Step-1: Prime Factorization of 46266

Prime factors of 46266 are 2, 3, 11, 701. Prime factorization of 46266 in exponential form is:

46266 = 2¹ × 3¹ × 11¹ × 701¹

Step-2: Prime Factorization of 46274

Prime factors of 46274 are 2, 17, 1361. Prime factorization of 46274 in exponential form is:

46274 = 2¹ × 17¹ × 1361¹

Step-3: Factors of 46266

List of positive integer factors of 46266 that divides 46266 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 701, 1402, 2103, 4206, 7711, 15422, 23133

Step-4: Factors of 46274

List of positive integer factors of 46274 that divides 46266 without a remainder.

1, 2, 17, 34, 1361, 2722, 23137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46266 and 46274. The biggest common factor number is the GCF number.
So the greatest common factor 46266 and 46274 is 2.

Also check out the Least Common Multiple of 46266 and 46274