What is the Greatest Common Factor of 46269 and 46274?

Greatest common factor (GCF) of 46269 and 46274 is 1.

GCF(46269,46274) = 1

We will now calculate the prime factors of 46269 and 46274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46269 and 46274.

How to find the GCF of 46269 and 46274?

We will first find the prime factorization of 46269 and 46274. After we will calculate the factors of 46269 and 46274 and find the biggest common factor number .

Step-1: Prime Factorization of 46269

Prime factors of 46269 are 3, 53, 97. Prime factorization of 46269 in exponential form is:

46269 = 3² × 53¹ × 97¹

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 46269

List of positive integer factors of 46269 that divides 46269 without a remainder.

1, 3, 9, 53, 97, 159, 291, 477, 873, 5141, 15423

Step-4: Factors of 46274

List of positive integer factors of 46274 that divides 46269 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46269 and 46274. The biggest common factor number is the GCF number.
So the greatest common factor 46269 and 46274 is 1.

Also check out the Least Common Multiple of 46269 and 46274