What is the Greatest Common Factor of 75874 and 75893?

Greatest common factor (GCF) of 75874 and 75893 is 1.

GCF(75874,75893) = 1

We will now calculate the prime factors of 75874 and 75893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75874 and 75893.

How to find the GCF of 75874 and 75893?

We will first find the prime factorization of 75874 and 75893. After we will calculate the factors of 75874 and 75893 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75893

Prime factors of 75893 are 29, 2617. Prime factorization of 75893 in exponential form is:

75893 = 29¹ × 2617¹

Step-3: Factors of 75874

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

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

Step-4: Factors of 75893

List of positive integer factors of 75893 that divides 75874 without a remainder.

1, 29, 2617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75874 and 75893. The biggest common factor number is the GCF number.
So the greatest common factor 75874 and 75893 is 1.

Also check out the Least Common Multiple of 75874 and 75893