What is the Greatest Common Factor of 35676 and 35691?

Greatest common factor (GCF) of 35676 and 35691 is 3.

GCF(35676,35691) = 3

We will now calculate the prime factors of 35676 and 35691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35676 and 35691.

How to find the GCF of 35676 and 35691?

We will first find the prime factorization of 35676 and 35691. After we will calculate the factors of 35676 and 35691 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35691

Prime factors of 35691 are 3, 11897. Prime factorization of 35691 in exponential form is:

35691 = 3¹ × 11897¹

Step-3: Factors of 35676

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

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

Step-4: Factors of 35691

List of positive integer factors of 35691 that divides 35676 without a remainder.

1, 3, 11897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35676 and 35691. The biggest common factor number is the GCF number.
So the greatest common factor 35676 and 35691 is 3.

Also check out the Least Common Multiple of 35676 and 35691