What is the Greatest Common Factor of 65805 and 65820?

Greatest common factor (GCF) of 65805 and 65820 is 15.

GCF(65805,65820) = 15

We will now calculate the prime factors of 65805 and 65820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65805 and 65820.

How to find the GCF of 65805 and 65820?

We will first find the prime factorization of 65805 and 65820. After we will calculate the factors of 65805 and 65820 and find the biggest common factor number .

Step-1: Prime Factorization of 65805

Prime factors of 65805 are 3, 5, 41, 107. Prime factorization of 65805 in exponential form is:

65805 = 3¹ × 5¹ × 41¹ × 107¹

Step-2: Prime Factorization of 65820

Prime factors of 65820 are 2, 3, 5, 1097. Prime factorization of 65820 in exponential form is:

65820 = 2² × 3¹ × 5¹ × 1097¹

Step-3: Factors of 65805

List of positive integer factors of 65805 that divides 65805 without a remainder.

1, 3, 5, 15, 41, 107, 123, 205, 321, 535, 615, 1605, 4387, 13161, 21935

Step-4: Factors of 65820

List of positive integer factors of 65820 that divides 65805 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1097, 2194, 3291, 4388, 5485, 6582, 10970, 13164, 16455, 21940, 32910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65805 and 65820. The biggest common factor number is the GCF number.
So the greatest common factor 65805 and 65820 is 15.

Also check out the Least Common Multiple of 65805 and 65820