What is the Greatest Common Factor of 46572 and 46587?

Greatest common factor (GCF) of 46572 and 46587 is 3.

GCF(46572,46587) = 3

We will now calculate the prime factors of 46572 and 46587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46572 and 46587.

How to find the GCF of 46572 and 46587?

We will first find the prime factorization of 46572 and 46587. After we will calculate the factors of 46572 and 46587 and find the biggest common factor number .

Step-1: Prime Factorization of 46572

Prime factors of 46572 are 2, 3, 3881. Prime factorization of 46572 in exponential form is:

46572 = 2² × 3¹ × 3881¹

Step-2: Prime Factorization of 46587

Prime factors of 46587 are 3, 53, 293. Prime factorization of 46587 in exponential form is:

46587 = 3¹ × 53¹ × 293¹

Step-3: Factors of 46572

List of positive integer factors of 46572 that divides 46572 without a remainder.

1, 2, 3, 4, 6, 12, 3881, 7762, 11643, 15524, 23286

Step-4: Factors of 46587

List of positive integer factors of 46587 that divides 46572 without a remainder.

1, 3, 53, 159, 293, 879, 15529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46572 and 46587. The biggest common factor number is the GCF number.
So the greatest common factor 46572 and 46587 is 3.

Also check out the Least Common Multiple of 46572 and 46587