What is the Greatest Common Factor of 45814 and 45832?

Greatest common factor (GCF) of 45814 and 45832 is 2.

GCF(45814,45832) = 2

We will now calculate the prime factors of 45814 and 45832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45814 and 45832.

How to find the GCF of 45814 and 45832?

We will first find the prime factorization of 45814 and 45832. After we will calculate the factors of 45814 and 45832 and find the biggest common factor number .

Step-1: Prime Factorization of 45814

Prime factors of 45814 are 2, 22907. Prime factorization of 45814 in exponential form is:

45814 = 2¹ × 22907¹

Step-2: 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-3: Factors of 45814

List of positive integer factors of 45814 that divides 45814 without a remainder.

1, 2, 22907

Step-4: Factors of 45832

List of positive integer factors of 45832 that divides 45814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45814 and 45832. The biggest common factor number is the GCF number.
So the greatest common factor 45814 and 45832 is 2.

Also check out the Least Common Multiple of 45814 and 45832