What is the Greatest Common Factor of 69849 and 69854?

Greatest common factor (GCF) of 69849 and 69854 is 1.

GCF(69849,69854) = 1

We will now calculate the prime factors of 69849 and 69854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69849 and 69854.

How to find the GCF of 69849 and 69854?

We will first find the prime factorization of 69849 and 69854. After we will calculate the factors of 69849 and 69854 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 69854

Prime factors of 69854 are 2, 53, 659. Prime factorization of 69854 in exponential form is:

69854 = 2¹ × 53¹ × 659¹

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 69854

List of positive integer factors of 69854 that divides 69849 without a remainder.

1, 2, 53, 106, 659, 1318, 34927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69849 and 69854. The biggest common factor number is the GCF number.
So the greatest common factor 69849 and 69854 is 1.

Also check out the Least Common Multiple of 69849 and 69854