What is the Greatest Common Factor of 45816 and 45831?

Greatest common factor (GCF) of 45816 and 45831 is 3.

GCF(45816,45831) = 3

We will now calculate the prime factors of 45816 and 45831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45816 and 45831.

How to find the GCF of 45816 and 45831?

We will first find the prime factorization of 45816 and 45831. After we will calculate the factors of 45816 and 45831 and find the biggest common factor number .

Step-1: Prime Factorization of 45816

Prime factors of 45816 are 2, 3, 23, 83. Prime factorization of 45816 in exponential form is:

45816 = 2³ × 3¹ × 23¹ × 83¹

Step-2: Prime Factorization of 45831

Prime factors of 45831 are 3, 15277. Prime factorization of 45831 in exponential form is:

45831 = 3¹ × 15277¹

Step-3: Factors of 45816

List of positive integer factors of 45816 that divides 45816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 83, 92, 138, 166, 184, 249, 276, 332, 498, 552, 664, 996, 1909, 1992, 3818, 5727, 7636, 11454, 15272, 22908

Step-4: Factors of 45831

List of positive integer factors of 45831 that divides 45816 without a remainder.

1, 3, 15277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45816 and 45831. The biggest common factor number is the GCF number.
So the greatest common factor 45816 and 45831 is 3.

Also check out the Least Common Multiple of 45816 and 45831