What is the Greatest Common Factor of 45820 and 45835?

Greatest common factor (GCF) of 45820 and 45835 is 5.

GCF(45820,45835) = 5

We will now calculate the prime factors of 45820 and 45835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45820 and 45835.

How to find the GCF of 45820 and 45835?

We will first find the prime factorization of 45820 and 45835. After we will calculate the factors of 45820 and 45835 and find the biggest common factor number .

Step-1: Prime Factorization of 45820

Prime factors of 45820 are 2, 5, 29, 79. Prime factorization of 45820 in exponential form is:

45820 = 2² × 5¹ × 29¹ × 79¹

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 45820

List of positive integer factors of 45820 that divides 45820 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 79, 116, 145, 158, 290, 316, 395, 580, 790, 1580, 2291, 4582, 9164, 11455, 22910

Step-4: Factors of 45835

List of positive integer factors of 45835 that divides 45820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45820 and 45835. The biggest common factor number is the GCF number.
So the greatest common factor 45820 and 45835 is 5.

Also check out the Least Common Multiple of 45820 and 45835