What is the Greatest Common Factor of 35946 and 35955?

Greatest common factor (GCF) of 35946 and 35955 is 9.

GCF(35946,35955) = 9

We will now calculate the prime factors of 35946 and 35955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35946 and 35955.

How to find the GCF of 35946 and 35955?

We will first find the prime factorization of 35946 and 35955. After we will calculate the factors of 35946 and 35955 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 35955

Prime factors of 35955 are 3, 5, 17, 47. Prime factorization of 35955 in exponential form is:

35955 = 3² × 5¹ × 17¹ × 47¹

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 35955

List of positive integer factors of 35955 that divides 35946 without a remainder.

1, 3, 5, 9, 15, 17, 45, 47, 51, 85, 141, 153, 235, 255, 423, 705, 765, 799, 2115, 2397, 3995, 7191, 11985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35946 and 35955. The biggest common factor number is the GCF number.
So the greatest common factor 35946 and 35955 is 9.

Also check out the Least Common Multiple of 35946 and 35955