What is the Greatest Common Factor of 45816 and 45835?

Greatest common factor (GCF) of 45816 and 45835 is 1.

GCF(45816,45835) = 1

We will now calculate the prime factors of 45816 and 45835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45816 and 45835.

How to find the GCF of 45816 and 45835?

We will first find the prime factorization of 45816 and 45835. After we will calculate the factors of 45816 and 45835 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 45835

Prime factors of 45835 are 5, 89, 103. Prime factorization of 45835 in exponential form is:

45835 = 5¹ × 89¹ × 103¹

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 45835

List of positive integer factors of 45835 that divides 45816 without a remainder.

1, 5, 89, 103, 445, 515, 9167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45816 and 45835. The biggest common factor number is the GCF number.
So the greatest common factor 45816 and 45835 is 1.

Also check out the Least Common Multiple of 45816 and 45835