What is the Greatest Common Factor of 35415 and 35433?

Greatest common factor (GCF) of 35415 and 35433 is 9.

GCF(35415,35433) = 9

We will now calculate the prime factors of 35415 and 35433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35415 and 35433.

How to find the GCF of 35415 and 35433?

We will first find the prime factorization of 35415 and 35433. After we will calculate the factors of 35415 and 35433 and find the biggest common factor number .

Step-1: Prime Factorization of 35415

Prime factors of 35415 are 3, 5, 787. Prime factorization of 35415 in exponential form is:

35415 = 3² × 5¹ × 787¹

Step-2: Prime Factorization of 35433

Prime factors of 35433 are 3, 31, 127. Prime factorization of 35433 in exponential form is:

35433 = 3² × 31¹ × 127¹

Step-3: Factors of 35415

List of positive integer factors of 35415 that divides 35415 without a remainder.

1, 3, 5, 9, 15, 45, 787, 2361, 3935, 7083, 11805

Step-4: Factors of 35433

List of positive integer factors of 35433 that divides 35415 without a remainder.

1, 3, 9, 31, 93, 127, 279, 381, 1143, 3937, 11811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35415 and 35433. The biggest common factor number is the GCF number.
So the greatest common factor 35415 and 35433 is 9.

Also check out the Least Common Multiple of 35415 and 35433