What is the Greatest Common Factor of 30849 and 30862?

Greatest common factor (GCF) of 30849 and 30862 is 13.

GCF(30849,30862) = 13

We will now calculate the prime factors of 30849 and 30862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30849 and 30862.

How to find the GCF of 30849 and 30862?

We will first find the prime factorization of 30849 and 30862. After we will calculate the factors of 30849 and 30862 and find the biggest common factor number .

Step-1: Prime Factorization of 30849

Prime factors of 30849 are 3, 7, 13, 113. Prime factorization of 30849 in exponential form is:

30849 = 3¹ × 7¹ × 13¹ × 113¹

Step-2: Prime Factorization of 30862

Prime factors of 30862 are 2, 13, 1187. Prime factorization of 30862 in exponential form is:

30862 = 2¹ × 13¹ × 1187¹

Step-3: Factors of 30849

List of positive integer factors of 30849 that divides 30849 without a remainder.

1, 3, 7, 13, 21, 39, 91, 113, 273, 339, 791, 1469, 2373, 4407, 10283

Step-4: Factors of 30862

List of positive integer factors of 30862 that divides 30849 without a remainder.

1, 2, 13, 26, 1187, 2374, 15431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30849 and 30862. The biggest common factor number is the GCF number.
So the greatest common factor 30849 and 30862 is 13.

Also check out the Least Common Multiple of 30849 and 30862