What is the Greatest Common Factor of 17854 and 17862?

Greatest common factor (GCF) of 17854 and 17862 is 2.

GCF(17854,17862) = 2

We will now calculate the prime factors of 17854 and 17862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17854 and 17862.

How to find the GCF of 17854 and 17862?

We will first find the prime factorization of 17854 and 17862. After we will calculate the factors of 17854 and 17862 and find the biggest common factor number .

Step-1: Prime Factorization of 17854

Prime factors of 17854 are 2, 79, 113. Prime factorization of 17854 in exponential form is:

17854 = 2¹ × 79¹ × 113¹

Step-2: Prime Factorization of 17862

Prime factors of 17862 are 2, 3, 13, 229. Prime factorization of 17862 in exponential form is:

17862 = 2¹ × 3¹ × 13¹ × 229¹

Step-3: Factors of 17854

List of positive integer factors of 17854 that divides 17854 without a remainder.

1, 2, 79, 113, 158, 226, 8927

Step-4: Factors of 17862

List of positive integer factors of 17862 that divides 17854 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 229, 458, 687, 1374, 2977, 5954, 8931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17854 and 17862. The biggest common factor number is the GCF number.
So the greatest common factor 17854 and 17862 is 2.

Also check out the Least Common Multiple of 17854 and 17862