What is the Greatest Common Factor of 35375 and 35394?

Greatest common factor (GCF) of 35375 and 35394 is 1.

GCF(35375,35394) = 1

We will now calculate the prime factors of 35375 and 35394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35375 and 35394.

How to find the GCF of 35375 and 35394?

We will first find the prime factorization of 35375 and 35394. After we will calculate the factors of 35375 and 35394 and find the biggest common factor number .

Step-1: Prime Factorization of 35375

Prime factors of 35375 are 5, 283. Prime factorization of 35375 in exponential form is:

35375 = 5³ × 283¹

Step-2: Prime Factorization of 35394

Prime factors of 35394 are 2, 3, 17, 347. Prime factorization of 35394 in exponential form is:

35394 = 2¹ × 3¹ × 17¹ × 347¹

Step-3: Factors of 35375

List of positive integer factors of 35375 that divides 35375 without a remainder.

1, 5, 25, 125, 283, 1415, 7075

Step-4: Factors of 35394

List of positive integer factors of 35394 that divides 35375 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 347, 694, 1041, 2082, 5899, 11798, 17697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35375 and 35394. The biggest common factor number is the GCF number.
So the greatest common factor 35375 and 35394 is 1.

Also check out the Least Common Multiple of 35375 and 35394