What is the Greatest Common Factor of 17960 and 17975?

Greatest common factor (GCF) of 17960 and 17975 is 5.

GCF(17960,17975) = 5

We will now calculate the prime factors of 17960 and 17975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17960 and 17975.

How to find the GCF of 17960 and 17975?

We will first find the prime factorization of 17960 and 17975. After we will calculate the factors of 17960 and 17975 and find the biggest common factor number .

Step-1: Prime Factorization of 17960

Prime factors of 17960 are 2, 5, 449. Prime factorization of 17960 in exponential form is:

17960 = 2³ × 5¹ × 449¹

Step-2: Prime Factorization of 17975

Prime factors of 17975 are 5, 719. Prime factorization of 17975 in exponential form is:

17975 = 5² × 719¹

Step-3: Factors of 17960

List of positive integer factors of 17960 that divides 17960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 449, 898, 1796, 2245, 3592, 4490, 8980

Step-4: Factors of 17975

List of positive integer factors of 17975 that divides 17960 without a remainder.

1, 5, 25, 719, 3595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17960 and 17975. The biggest common factor number is the GCF number.
So the greatest common factor 17960 and 17975 is 5.

Also check out the Least Common Multiple of 17960 and 17975