What is the Greatest Common Factor of 35064 and 35073?

Greatest common factor (GCF) of 35064 and 35073 is 9.

GCF(35064,35073) = 9

We will now calculate the prime factors of 35064 and 35073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35064 and 35073.

How to find the GCF of 35064 and 35073?

We will first find the prime factorization of 35064 and 35073. After we will calculate the factors of 35064 and 35073 and find the biggest common factor number .

Step-1: Prime Factorization of 35064

Prime factors of 35064 are 2, 3, 487. Prime factorization of 35064 in exponential form is:

35064 = 2³ × 3² × 487¹

Step-2: Prime Factorization of 35073

Prime factors of 35073 are 3, 433. Prime factorization of 35073 in exponential form is:

35073 = 3⁴ × 433¹

Step-3: Factors of 35064

List of positive integer factors of 35064 that divides 35064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 487, 974, 1461, 1948, 2922, 3896, 4383, 5844, 8766, 11688, 17532

Step-4: Factors of 35073

List of positive integer factors of 35073 that divides 35064 without a remainder.

1, 3, 9, 27, 81, 433, 1299, 3897, 11691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35064 and 35073. The biggest common factor number is the GCF number.
So the greatest common factor 35064 and 35073 is 9.

Also check out the Least Common Multiple of 35064 and 35073