What is the Greatest Common Factor of 35867 and 35881?

Greatest common factor (GCF) of 35867 and 35881 is 1.

GCF(35867,35881) = 1

We will now calculate the prime factors of 35867 and 35881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35867 and 35881.

How to find the GCF of 35867 and 35881?

We will first find the prime factorization of 35867 and 35881. After we will calculate the factors of 35867 and 35881 and find the biggest common factor number .

Step-1: Prime Factorization of 35867

Prime factors of 35867 are 13, 31, 89. Prime factorization of 35867 in exponential form is:

35867 = 13¹ × 31¹ × 89¹

Step-2: Prime Factorization of 35881

Prime factors of 35881 are 53, 677. Prime factorization of 35881 in exponential form is:

35881 = 53¹ × 677¹

Step-3: Factors of 35867

List of positive integer factors of 35867 that divides 35867 without a remainder.

1, 13, 31, 89, 403, 1157, 2759

Step-4: Factors of 35881

List of positive integer factors of 35881 that divides 35867 without a remainder.

1, 53, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35867 and 35881. The biggest common factor number is the GCF number.
So the greatest common factor 35867 and 35881 is 1.

Also check out the Least Common Multiple of 35867 and 35881