What is the Greatest Common Factor of 69849 and 69861?

Greatest common factor (GCF) of 69849 and 69861 is 3.

GCF(69849,69861) = 3

We will now calculate the prime factors of 69849 and 69861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69849 and 69861.

How to find the GCF of 69849 and 69861?

We will first find the prime factorization of 69849 and 69861. After we will calculate the factors of 69849 and 69861 and find the biggest common factor number .

Step-1: Prime Factorization of 69849

Prime factors of 69849 are 3, 13, 199. Prime factorization of 69849 in exponential form is:

69849 = 3³ × 13¹ × 199¹

Step-2: Prime Factorization of 69861

Prime factors of 69861 are 3, 11, 29, 73. Prime factorization of 69861 in exponential form is:

69861 = 3¹ × 11¹ × 29¹ × 73¹

Step-3: Factors of 69849

List of positive integer factors of 69849 that divides 69849 without a remainder.

1, 3, 9, 13, 27, 39, 117, 199, 351, 597, 1791, 2587, 5373, 7761, 23283

Step-4: Factors of 69861

List of positive integer factors of 69861 that divides 69849 without a remainder.

1, 3, 11, 29, 33, 73, 87, 219, 319, 803, 957, 2117, 2409, 6351, 23287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69849 and 69861. The biggest common factor number is the GCF number.
So the greatest common factor 69849 and 69861 is 3.

Also check out the Least Common Multiple of 69849 and 69861