What is the Greatest Common Factor of 45829 and 45843?

Greatest common factor (GCF) of 45829 and 45843 is 7.

GCF(45829,45843) = 7

We will now calculate the prime factors of 45829 and 45843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45829 and 45843.

How to find the GCF of 45829 and 45843?

We will first find the prime factorization of 45829 and 45843. After we will calculate the factors of 45829 and 45843 and find the biggest common factor number .

Step-1: Prime Factorization of 45829

Prime factors of 45829 are 7, 6547. Prime factorization of 45829 in exponential form is:

45829 = 7¹ × 6547¹

Step-2: Prime Factorization of 45843

Prime factors of 45843 are 3, 7, 37, 59. Prime factorization of 45843 in exponential form is:

45843 = 3¹ × 7¹ × 37¹ × 59¹

Step-3: Factors of 45829

List of positive integer factors of 45829 that divides 45829 without a remainder.

1, 7, 6547

Step-4: Factors of 45843

List of positive integer factors of 45843 that divides 45829 without a remainder.

1, 3, 7, 21, 37, 59, 111, 177, 259, 413, 777, 1239, 2183, 6549, 15281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45829 and 45843. The biggest common factor number is the GCF number.
So the greatest common factor 45829 and 45843 is 7.

Also check out the Least Common Multiple of 45829 and 45843