What is the Greatest Common Factor of 35928 and 35946?

Greatest common factor (GCF) of 35928 and 35946 is 18.

GCF(35928,35946) = 18

We will now calculate the prime factors of 35928 and 35946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35928 and 35946.

How to find the GCF of 35928 and 35946?

We will first find the prime factorization of 35928 and 35946. After we will calculate the factors of 35928 and 35946 and find the biggest common factor number .

Step-1: Prime Factorization of 35928

Prime factors of 35928 are 2, 3, 499. Prime factorization of 35928 in exponential form is:

35928 = 2³ × 3² × 499¹

Step-2: 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-3: Factors of 35928

List of positive integer factors of 35928 that divides 35928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 499, 998, 1497, 1996, 2994, 3992, 4491, 5988, 8982, 11976, 17964

Step-4: Factors of 35946

List of positive integer factors of 35946 that divides 35928 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35928 and 35946. The biggest common factor number is the GCF number.
So the greatest common factor 35928 and 35946 is 18.

Also check out the Least Common Multiple of 35928 and 35946