What is the Greatest Common Factor of 5874 and 5885?

Greatest common factor (GCF) of 5874 and 5885 is 11.

GCF(5874,5885) = 11

We will now calculate the prime factors of 5874 and 5885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5874 and 5885.

How to find the GCF of 5874 and 5885?

We will first find the prime factorization of 5874 and 5885. After we will calculate the factors of 5874 and 5885 and find the biggest common factor number .

Step-1: Prime Factorization of 5874

Prime factors of 5874 are 2, 3, 11, 89. Prime factorization of 5874 in exponential form is:

5874 = 2¹ × 3¹ × 11¹ × 89¹

Step-2: Prime Factorization of 5885

Prime factors of 5885 are 5, 11, 107. Prime factorization of 5885 in exponential form is:

5885 = 5¹ × 11¹ × 107¹

Step-3: Factors of 5874

List of positive integer factors of 5874 that divides 5874 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937

Step-4: Factors of 5885

List of positive integer factors of 5885 that divides 5874 without a remainder.

1, 5, 11, 55, 107, 535, 1177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5874 and 5885. The biggest common factor number is the GCF number.
So the greatest common factor 5874 and 5885 is 11.

Also check out the Least Common Multiple of 5874 and 5885