What is the Greatest Common Factor of 35055 and 35064?

Greatest common factor (GCF) of 35055 and 35064 is 9.

GCF(35055,35064) = 9

We will now calculate the prime factors of 35055 and 35064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35055 and 35064.

How to find the GCF of 35055 and 35064?

We will first find the prime factorization of 35055 and 35064. After we will calculate the factors of 35055 and 35064 and find the biggest common factor number .

Step-1: Prime Factorization of 35055

Prime factors of 35055 are 3, 5, 19, 41. Prime factorization of 35055 in exponential form is:

35055 = 3² × 5¹ × 19¹ × 41¹

Step-2: 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-3: Factors of 35055

List of positive integer factors of 35055 that divides 35055 without a remainder.

1, 3, 5, 9, 15, 19, 41, 45, 57, 95, 123, 171, 205, 285, 369, 615, 779, 855, 1845, 2337, 3895, 7011, 11685

Step-4: Factors of 35064

List of positive integer factors of 35064 that divides 35055 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35055 and 35064. The biggest common factor number is the GCF number.
So the greatest common factor 35055 and 35064 is 9.

Also check out the Least Common Multiple of 35055 and 35064