What is the Greatest Common Factor of 69846 and 69858?

Greatest common factor (GCF) of 69846 and 69858 is 6.

GCF(69846,69858) = 6

We will now calculate the prime factors of 69846 and 69858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69846 and 69858.

How to find the GCF of 69846 and 69858?

We will first find the prime factorization of 69846 and 69858. After we will calculate the factors of 69846 and 69858 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 69858

Prime factors of 69858 are 2, 3, 3881. Prime factorization of 69858 in exponential form is:

69858 = 2¹ × 3² × 3881¹

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 69858

List of positive integer factors of 69858 that divides 69846 without a remainder.

1, 2, 3, 6, 9, 18, 3881, 7762, 11643, 23286, 34929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69846 and 69858. The biggest common factor number is the GCF number.
So the greatest common factor 69846 and 69858 is 6.

Also check out the Least Common Multiple of 69846 and 69858