What is the Greatest Common Factor of 69845 and 69855?

Greatest common factor (GCF) of 69845 and 69855 is 5.

GCF(69845,69855) = 5

We will now calculate the prime factors of 69845 and 69855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69845 and 69855.

How to find the GCF of 69845 and 69855?

We will first find the prime factorization of 69845 and 69855. After we will calculate the factors of 69845 and 69855 and find the biggest common factor number .

Step-1: Prime Factorization of 69845

Prime factors of 69845 are 5, 61, 229. Prime factorization of 69845 in exponential form is:

69845 = 5¹ × 61¹ × 229¹

Step-2: Prime Factorization of 69855

Prime factors of 69855 are 3, 5, 4657. Prime factorization of 69855 in exponential form is:

69855 = 3¹ × 5¹ × 4657¹

Step-3: Factors of 69845

List of positive integer factors of 69845 that divides 69845 without a remainder.

1, 5, 61, 229, 305, 1145, 13969

Step-4: Factors of 69855

List of positive integer factors of 69855 that divides 69845 without a remainder.

1, 3, 5, 15, 4657, 13971, 23285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69845 and 69855. The biggest common factor number is the GCF number.
So the greatest common factor 69845 and 69855 is 5.

Also check out the Least Common Multiple of 69845 and 69855