What is the Greatest Common Factor of 46551 and 46566?

Greatest common factor (GCF) of 46551 and 46566 is 3.

GCF(46551,46566) = 3

We will now calculate the prime factors of 46551 and 46566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46551 and 46566.

How to find the GCF of 46551 and 46566?

We will first find the prime factorization of 46551 and 46566. After we will calculate the factors of 46551 and 46566 and find the biggest common factor number .

Step-1: Prime Factorization of 46551

Prime factors of 46551 are 3, 59, 263. Prime factorization of 46551 in exponential form is:

46551 = 3¹ × 59¹ × 263¹

Step-2: Prime Factorization of 46566

Prime factors of 46566 are 2, 3, 13, 199. Prime factorization of 46566 in exponential form is:

46566 = 2¹ × 3² × 13¹ × 199¹

Step-3: Factors of 46551

List of positive integer factors of 46551 that divides 46551 without a remainder.

1, 3, 59, 177, 263, 789, 15517

Step-4: Factors of 46566

List of positive integer factors of 46566 that divides 46551 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 199, 234, 398, 597, 1194, 1791, 2587, 3582, 5174, 7761, 15522, 23283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46551 and 46566. The biggest common factor number is the GCF number.
So the greatest common factor 46551 and 46566 is 3.

Also check out the Least Common Multiple of 46551 and 46566