What is the Greatest Common Factor of 69849 and 69862?

Greatest common factor (GCF) of 69849 and 69862 is 13.

GCF(69849,69862) = 13

We will now calculate the prime factors of 69849 and 69862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69849 and 69862.

How to find the GCF of 69849 and 69862?

We will first find the prime factorization of 69849 and 69862. After we will calculate the factors of 69849 and 69862 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 69862

Prime factors of 69862 are 2, 13, 2687. Prime factorization of 69862 in exponential form is:

69862 = 2¹ × 13¹ × 2687¹

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 69862

List of positive integer factors of 69862 that divides 69849 without a remainder.

1, 2, 13, 26, 2687, 5374, 34931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69849 and 69862. The biggest common factor number is the GCF number.
So the greatest common factor 69849 and 69862 is 13.

Also check out the Least Common Multiple of 69849 and 69862