What is the Greatest Common Factor of 46674 and 46689?

Greatest common factor (GCF) of 46674 and 46689 is 3.

GCF(46674,46689) = 3

We will now calculate the prime factors of 46674 and 46689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46674 and 46689.

How to find the GCF of 46674 and 46689?

We will first find the prime factorization of 46674 and 46689. After we will calculate the factors of 46674 and 46689 and find the biggest common factor number .

Step-1: Prime Factorization of 46674

Prime factors of 46674 are 2, 3, 2593. Prime factorization of 46674 in exponential form is:

46674 = 2¹ × 3² × 2593¹

Step-2: Prime Factorization of 46689

Prime factors of 46689 are 3, 79, 197. Prime factorization of 46689 in exponential form is:

46689 = 3¹ × 79¹ × 197¹

Step-3: Factors of 46674

List of positive integer factors of 46674 that divides 46674 without a remainder.

1, 2, 3, 6, 9, 18, 2593, 5186, 7779, 15558, 23337

Step-4: Factors of 46689

List of positive integer factors of 46689 that divides 46674 without a remainder.

1, 3, 79, 197, 237, 591, 15563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46674 and 46689. The biggest common factor number is the GCF number.
So the greatest common factor 46674 and 46689 is 3.

Also check out the Least Common Multiple of 46674 and 46689