What is the Greatest Common Factor of 35877 and 35895?

Greatest common factor (GCF) of 35877 and 35895 is 3.

GCF(35877,35895) = 3

We will now calculate the prime factors of 35877 and 35895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35877 and 35895.

How to find the GCF of 35877 and 35895?

We will first find the prime factorization of 35877 and 35895. After we will calculate the factors of 35877 and 35895 and find the biggest common factor number .

Step-1: Prime Factorization of 35877

Prime factors of 35877 are 3, 11959. Prime factorization of 35877 in exponential form is:

35877 = 3¹ × 11959¹

Step-2: Prime Factorization of 35895

Prime factors of 35895 are 3, 5, 2393. Prime factorization of 35895 in exponential form is:

35895 = 3¹ × 5¹ × 2393¹

Step-3: Factors of 35877

List of positive integer factors of 35877 that divides 35877 without a remainder.

1, 3, 11959

Step-4: Factors of 35895

List of positive integer factors of 35895 that divides 35877 without a remainder.

1, 3, 5, 15, 2393, 7179, 11965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35877 and 35895. The biggest common factor number is the GCF number.
So the greatest common factor 35877 and 35895 is 3.

Also check out the Least Common Multiple of 35877 and 35895