What is the Greatest Common Factor of 35955 and 35975?

Greatest common factor (GCF) of 35955 and 35975 is 5.

GCF(35955,35975) = 5

We will now calculate the prime factors of 35955 and 35975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35955 and 35975.

How to find the GCF of 35955 and 35975?

We will first find the prime factorization of 35955 and 35975. After we will calculate the factors of 35955 and 35975 and find the biggest common factor number .

Step-1: 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-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 35955

List of positive integer factors of 35955 that divides 35955 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

Step-4: Factors of 35975

List of positive integer factors of 35975 that divides 35955 without a remainder.

1, 5, 25, 1439, 7195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35955 and 35975. The biggest common factor number is the GCF number.
So the greatest common factor 35955 and 35975 is 5.

Also check out the Least Common Multiple of 35955 and 35975