What is the Greatest Common Factor of 35064 and 35082?

Greatest common factor (GCF) of 35064 and 35082 is 18.

GCF(35064,35082) = 18

We will now calculate the prime factors of 35064 and 35082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35064 and 35082.

How to find the GCF of 35064 and 35082?

We will first find the prime factorization of 35064 and 35082. After we will calculate the factors of 35064 and 35082 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 35082

Prime factors of 35082 are 2, 3, 1949. Prime factorization of 35082 in exponential form is:

35082 = 2¹ × 3² × 1949¹

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 35082

List of positive integer factors of 35082 that divides 35064 without a remainder.

1, 2, 3, 6, 9, 18, 1949, 3898, 5847, 11694, 17541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35064 and 35082. The biggest common factor number is the GCF number.
So the greatest common factor 35064 and 35082 is 18.

Also check out the Least Common Multiple of 35064 and 35082