What is the Greatest Common Factor of 35946 and 35956?

Greatest common factor (GCF) of 35946 and 35956 is 2.

GCF(35946,35956) = 2

We will now calculate the prime factors of 35946 and 35956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35946 and 35956.

How to find the GCF of 35946 and 35956?

We will first find the prime factorization of 35946 and 35956. After we will calculate the factors of 35946 and 35956 and find the biggest common factor number .

Step-1: Prime Factorization of 35946

Prime factors of 35946 are 2, 3, 1997. Prime factorization of 35946 in exponential form is:

35946 = 2¹ × 3² × 1997¹

Step-2: Prime Factorization of 35956

Prime factors of 35956 are 2, 89, 101. Prime factorization of 35956 in exponential form is:

35956 = 2² × 89¹ × 101¹

Step-3: Factors of 35946

List of positive integer factors of 35946 that divides 35946 without a remainder.

1, 2, 3, 6, 9, 18, 1997, 3994, 5991, 11982, 17973

Step-4: Factors of 35956

List of positive integer factors of 35956 that divides 35946 without a remainder.

1, 2, 4, 89, 101, 178, 202, 356, 404, 8989, 17978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35946 and 35956. The biggest common factor number is the GCF number.
So the greatest common factor 35946 and 35956 is 2.

Also check out the Least Common Multiple of 35946 and 35956