What is the Greatest Common Factor of 35964 and 35975?

Greatest common factor (GCF) of 35964 and 35975 is 1.

GCF(35964,35975) = 1

We will now calculate the prime factors of 35964 and 35975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35964 and 35975.

How to find the GCF of 35964 and 35975?

We will first find the prime factorization of 35964 and 35975. After we will calculate the factors of 35964 and 35975 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35975

Prime factors of 35975 are 5, 1439. Prime factorization of 35975 in exponential form is:

35975 = 5² × 1439¹

Step-3: Factors of 35964

List of positive integer factors of 35964 that divides 35964 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

Step-4: Factors of 35975

List of positive integer factors of 35975 that divides 35964 without a remainder.

1, 5, 25, 1439, 7195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35964 and 35975. The biggest common factor number is the GCF number.
So the greatest common factor 35964 and 35975 is 1.

Also check out the Least Common Multiple of 35964 and 35975