What is the Greatest Common Factor of 35876 and 35893?

Greatest common factor (GCF) of 35876 and 35893 is 1.

GCF(35876,35893) = 1

We will now calculate the prime factors of 35876 and 35893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35876 and 35893.

How to find the GCF of 35876 and 35893?

We will first find the prime factorization of 35876 and 35893. After we will calculate the factors of 35876 and 35893 and find the biggest common factor number .

Step-1: Prime Factorization of 35876

Prime factors of 35876 are 2, 8969. Prime factorization of 35876 in exponential form is:

35876 = 2² × 8969¹

Step-2: Prime Factorization of 35893

Prime factors of 35893 are 11, 13, 251. Prime factorization of 35893 in exponential form is:

35893 = 11¹ × 13¹ × 251¹

Step-3: Factors of 35876

List of positive integer factors of 35876 that divides 35876 without a remainder.

1, 2, 4, 8969, 17938

Step-4: Factors of 35893

List of positive integer factors of 35893 that divides 35876 without a remainder.

1, 11, 13, 143, 251, 2761, 3263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35876 and 35893. The biggest common factor number is the GCF number.
So the greatest common factor 35876 and 35893 is 1.

Also check out the Least Common Multiple of 35876 and 35893