What is the Greatest Common Factor of 45803 and 45812?

Greatest common factor (GCF) of 45803 and 45812 is 1.

GCF(45803,45812) = 1

We will now calculate the prime factors of 45803 and 45812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45803 and 45812.

How to find the GCF of 45803 and 45812?

We will first find the prime factorization of 45803 and 45812. After we will calculate the factors of 45803 and 45812 and find the biggest common factor number .

Step-1: Prime Factorization of 45803

Prime factors of 45803 are 163, 281. Prime factorization of 45803 in exponential form is:

45803 = 163¹ × 281¹

Step-2: Prime Factorization of 45812

Prime factors of 45812 are 2, 13, 881. Prime factorization of 45812 in exponential form is:

45812 = 2² × 13¹ × 881¹

Step-3: Factors of 45803

List of positive integer factors of 45803 that divides 45803 without a remainder.

1, 163, 281

Step-4: Factors of 45812

List of positive integer factors of 45812 that divides 45803 without a remainder.

1, 2, 4, 13, 26, 52, 881, 1762, 3524, 11453, 22906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45803 and 45812. The biggest common factor number is the GCF number.
So the greatest common factor 45803 and 45812 is 1.

Also check out the Least Common Multiple of 45803 and 45812