What is the Greatest Common Factor of 35667 and 35676?

Greatest common factor (GCF) of 35667 and 35676 is 9.

GCF(35667,35676) = 9

We will now calculate the prime factors of 35667 and 35676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35667 and 35676.

How to find the GCF of 35667 and 35676?

We will first find the prime factorization of 35667 and 35676. After we will calculate the factors of 35667 and 35676 and find the biggest common factor number .

Step-1: Prime Factorization of 35667

Prime factors of 35667 are 3, 1321. Prime factorization of 35667 in exponential form is:

35667 = 3³ × 1321¹

Step-2: Prime Factorization of 35676

Prime factors of 35676 are 2, 3, 991. Prime factorization of 35676 in exponential form is:

35676 = 2² × 3² × 991¹

Step-3: Factors of 35667

List of positive integer factors of 35667 that divides 35667 without a remainder.

1, 3, 9, 27, 1321, 3963, 11889

Step-4: Factors of 35676

List of positive integer factors of 35676 that divides 35667 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 991, 1982, 2973, 3964, 5946, 8919, 11892, 17838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35667 and 35676. The biggest common factor number is the GCF number.
So the greatest common factor 35667 and 35676 is 9.

Also check out the Least Common Multiple of 35667 and 35676