What is the Greatest Common Factor of 45832 and 45836?

Greatest common factor (GCF) of 45832 and 45836 is 4.

GCF(45832,45836) = 4

We will now calculate the prime factors of 45832 and 45836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45832 and 45836.

How to find the GCF of 45832 and 45836?

We will first find the prime factorization of 45832 and 45836. After we will calculate the factors of 45832 and 45836 and find the biggest common factor number .

Step-1: Prime Factorization of 45832

Prime factors of 45832 are 2, 17, 337. Prime factorization of 45832 in exponential form is:

45832 = 2³ × 17¹ × 337¹

Step-2: Prime Factorization of 45836

Prime factors of 45836 are 2, 7, 1637. Prime factorization of 45836 in exponential form is:

45836 = 2² × 7¹ × 1637¹

Step-3: Factors of 45832

List of positive integer factors of 45832 that divides 45832 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 337, 674, 1348, 2696, 5729, 11458, 22916

Step-4: Factors of 45836

List of positive integer factors of 45836 that divides 45832 without a remainder.

1, 2, 4, 7, 14, 28, 1637, 3274, 6548, 11459, 22918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45832 and 45836. The biggest common factor number is the GCF number.
So the greatest common factor 45832 and 45836 is 4.

Also check out the Least Common Multiple of 45832 and 45836