What is the Greatest Common Factor of 35946 and 35964?

Greatest common factor (GCF) of 35946 and 35964 is 18.

GCF(35946,35964) = 18

We will now calculate the prime factors of 35946 and 35964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35946 and 35964.

How to find the GCF of 35946 and 35964?

We will first find the prime factorization of 35946 and 35964. After we will calculate the factors of 35946 and 35964 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 35964

Prime factors of 35964 are 2, 3, 37. Prime factorization of 35964 in exponential form is:

35964 = 2² × 3⁵ × 37¹

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 35964

List of positive integer factors of 35964 that divides 35946 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 81, 108, 111, 148, 162, 222, 243, 324, 333, 444, 486, 666, 972, 999, 1332, 1998, 2997, 3996, 5994, 8991, 11988, 17982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35946 and 35964. The biggest common factor number is the GCF number.
So the greatest common factor 35946 and 35964 is 18.

Also check out the Least Common Multiple of 35946 and 35964