What is the Greatest Common Factor of 64074 and 64083?

Greatest common factor (GCF) of 64074 and 64083 is 3.

GCF(64074,64083) = 3

We will now calculate the prime factors of 64074 and 64083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64074 and 64083.

How to find the GCF of 64074 and 64083?

We will first find the prime factorization of 64074 and 64083. After we will calculate the factors of 64074 and 64083 and find the biggest common factor number .

Step-1: Prime Factorization of 64074

Prime factors of 64074 are 2, 3, 59, 181. Prime factorization of 64074 in exponential form is:

64074 = 2¹ × 3¹ × 59¹ × 181¹

Step-2: Prime Factorization of 64083

Prime factors of 64083 are 3, 41, 521. Prime factorization of 64083 in exponential form is:

64083 = 3¹ × 41¹ × 521¹

Step-3: Factors of 64074

List of positive integer factors of 64074 that divides 64074 without a remainder.

1, 2, 3, 6, 59, 118, 177, 181, 354, 362, 543, 1086, 10679, 21358, 32037

Step-4: Factors of 64083

List of positive integer factors of 64083 that divides 64074 without a remainder.

1, 3, 41, 123, 521, 1563, 21361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64074 and 64083. The biggest common factor number is the GCF number.
So the greatest common factor 64074 and 64083 is 3.

Also check out the Least Common Multiple of 64074 and 64083