What is the Greatest Common Factor of 874 and 893?

Greatest common factor (GCF) of 874 and 893 is 19.

GCF(874,893) = 19

We will now calculate the prime factors of 874 and 893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 874 and 893.

How to find the GCF of 874 and 893?

We will first find the prime factorization of 874 and 893. After we will calculate the factors of 874 and 893 and find the biggest common factor number .

Step-1: Prime Factorization of 874

Prime factors of 874 are 2, 19, 23. Prime factorization of 874 in exponential form is:

874 = 2¹ × 19¹ × 23¹

Step-2: Prime Factorization of 893

Prime factors of 893 are 19, 47. Prime factorization of 893 in exponential form is:

893 = 19¹ × 47¹

Step-3: Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437

Step-4: Factors of 893

List of positive integer factors of 893 that divides 874 without a remainder.

1, 19, 47

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 874 and 893. The biggest common factor number is the GCF number.
So the greatest common factor 874 and 893 is 19.

Also check out the Least Common Multiple of 874 and 893