What is the Greatest Common Factor of 45714 and 45729?

Greatest common factor (GCF) of 45714 and 45729 is 3.

GCF(45714,45729) = 3

We will now calculate the prime factors of 45714 and 45729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45714 and 45729.

How to find the GCF of 45714 and 45729?

We will first find the prime factorization of 45714 and 45729. After we will calculate the factors of 45714 and 45729 and find the biggest common factor number .

Step-1: Prime Factorization of 45714

Prime factors of 45714 are 2, 3, 19, 401. Prime factorization of 45714 in exponential form is:

45714 = 2¹ × 3¹ × 19¹ × 401¹

Step-2: Prime Factorization of 45729

Prime factors of 45729 are 3, 5081. Prime factorization of 45729 in exponential form is:

45729 = 3² × 5081¹

Step-3: Factors of 45714

List of positive integer factors of 45714 that divides 45714 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 401, 802, 1203, 2406, 7619, 15238, 22857

Step-4: Factors of 45729

List of positive integer factors of 45729 that divides 45714 without a remainder.

1, 3, 9, 5081, 15243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45714 and 45729. The biggest common factor number is the GCF number.
So the greatest common factor 45714 and 45729 is 3.

Also check out the Least Common Multiple of 45714 and 45729