What is the Greatest Common Factor of 35350 and 35367?

Greatest common factor (GCF) of 35350 and 35367 is 1.

GCF(35350,35367) = 1

We will now calculate the prime factors of 35350 and 35367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35350 and 35367.

How to find the GCF of 35350 and 35367?

We will first find the prime factorization of 35350 and 35367. After we will calculate the factors of 35350 and 35367 and find the biggest common factor number .

Step-1: Prime Factorization of 35350

Prime factors of 35350 are 2, 5, 7, 101. Prime factorization of 35350 in exponential form is:

35350 = 2¹ × 5² × 7¹ × 101¹

Step-2: Prime Factorization of 35367

Prime factors of 35367 are 3, 11789. Prime factorization of 35367 in exponential form is:

35367 = 3¹ × 11789¹

Step-3: Factors of 35350

List of positive integer factors of 35350 that divides 35350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 101, 175, 202, 350, 505, 707, 1010, 1414, 2525, 3535, 5050, 7070, 17675

Step-4: Factors of 35367

List of positive integer factors of 35367 that divides 35350 without a remainder.

1, 3, 11789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35350 and 35367. The biggest common factor number is the GCF number.
So the greatest common factor 35350 and 35367 is 1.

Also check out the Least Common Multiple of 35350 and 35367