What is the Greatest Common Factor of 75837 and 75854?

Greatest common factor (GCF) of 75837 and 75854 is 17.

GCF(75837,75854) = 17

We will now calculate the prime factors of 75837 and 75854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75837 and 75854.

How to find the GCF of 75837 and 75854?

We will first find the prime factorization of 75837 and 75854. After we will calculate the factors of 75837 and 75854 and find the biggest common factor number .

Step-1: Prime Factorization of 75837

Prime factors of 75837 are 3, 17, 1487. Prime factorization of 75837 in exponential form is:

75837 = 3¹ × 17¹ × 1487¹

Step-2: Prime Factorization of 75854

Prime factors of 75854 are 2, 17, 23, 97. Prime factorization of 75854 in exponential form is:

75854 = 2¹ × 17¹ × 23¹ × 97¹

Step-3: Factors of 75837

List of positive integer factors of 75837 that divides 75837 without a remainder.

1, 3, 17, 51, 1487, 4461, 25279

Step-4: Factors of 75854

List of positive integer factors of 75854 that divides 75837 without a remainder.

1, 2, 17, 23, 34, 46, 97, 194, 391, 782, 1649, 2231, 3298, 4462, 37927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75837 and 75854. The biggest common factor number is the GCF number.
So the greatest common factor 75837 and 75854 is 17.

Also check out the Least Common Multiple of 75837 and 75854