What is the Greatest Common Factor of 75854 and 75874?

Greatest common factor (GCF) of 75854 and 75874 is 2.

GCF(75854,75874) = 2

We will now calculate the prime factors of 75854 and 75874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75854 and 75874.

How to find the GCF of 75854 and 75874?

We will first find the prime factorization of 75854 and 75874. After we will calculate the factors of 75854 and 75874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75874

Prime factors of 75874 are 2, 59, 643. Prime factorization of 75874 in exponential form is:

75874 = 2¹ × 59¹ × 643¹

Step-3: Factors of 75854

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

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

Step-4: Factors of 75874

List of positive integer factors of 75874 that divides 75854 without a remainder.

1, 2, 59, 118, 643, 1286, 37937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75854 and 75874. The biggest common factor number is the GCF number.
So the greatest common factor 75854 and 75874 is 2.

Also check out the Least Common Multiple of 75854 and 75874