What is the Greatest Common Factor of 45657 and 45663?

Greatest common factor (GCF) of 45657 and 45663 is 3.

GCF(45657,45663) = 3

We will now calculate the prime factors of 45657 and 45663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45657 and 45663.

How to find the GCF of 45657 and 45663?

We will first find the prime factorization of 45657 and 45663. After we will calculate the factors of 45657 and 45663 and find the biggest common factor number .

Step-1: Prime Factorization of 45657

Prime factors of 45657 are 3, 19, 89. Prime factorization of 45657 in exponential form is:

45657 = 3³ × 19¹ × 89¹

Step-2: Prime Factorization of 45663

Prime factors of 45663 are 3, 31, 491. Prime factorization of 45663 in exponential form is:

45663 = 3¹ × 31¹ × 491¹

Step-3: Factors of 45657

List of positive integer factors of 45657 that divides 45657 without a remainder.

1, 3, 9, 19, 27, 57, 89, 171, 267, 513, 801, 1691, 2403, 5073, 15219

Step-4: Factors of 45663

List of positive integer factors of 45663 that divides 45657 without a remainder.

1, 3, 31, 93, 491, 1473, 15221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45657 and 45663. The biggest common factor number is the GCF number.
So the greatest common factor 45657 and 45663 is 3.

Also check out the Least Common Multiple of 45657 and 45663