What is the Greatest Common Factor of 69830 and 69845?

Greatest common factor (GCF) of 69830 and 69845 is 5.

GCF(69830,69845) = 5

We will now calculate the prime factors of 69830 and 69845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69830 and 69845.

How to find the GCF of 69830 and 69845?

We will first find the prime factorization of 69830 and 69845. After we will calculate the factors of 69830 and 69845 and find the biggest common factor number .

Step-1: Prime Factorization of 69830

Prime factors of 69830 are 2, 5, 6983. Prime factorization of 69830 in exponential form is:

69830 = 2¹ × 5¹ × 6983¹

Step-2: 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-3: Factors of 69830

List of positive integer factors of 69830 that divides 69830 without a remainder.

1, 2, 5, 10, 6983, 13966, 34915

Step-4: Factors of 69845

List of positive integer factors of 69845 that divides 69830 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69830 and 69845. The biggest common factor number is the GCF number.
So the greatest common factor 69830 and 69845 is 5.

Also check out the Least Common Multiple of 69830 and 69845