What is the Greatest Common Factor of 69846 and 69855?

Greatest common factor (GCF) of 69846 and 69855 is 3.

GCF(69846,69855) = 3

We will now calculate the prime factors of 69846 and 69855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69846 and 69855.

How to find the GCF of 69846 and 69855?

We will first find the prime factorization of 69846 and 69855. After we will calculate the factors of 69846 and 69855 and find the biggest common factor number .

Step-1: Prime Factorization of 69846

Prime factors of 69846 are 2, 3, 7, 1663. Prime factorization of 69846 in exponential form is:

69846 = 2¹ × 3¹ × 7¹ × 1663¹

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 69846

List of positive integer factors of 69846 that divides 69846 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1663, 3326, 4989, 9978, 11641, 23282, 34923

Step-4: Factors of 69855

List of positive integer factors of 69855 that divides 69846 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69846 and 69855. The biggest common factor number is the GCF number.
So the greatest common factor 69846 and 69855 is 3.

Also check out the Least Common Multiple of 69846 and 69855