What is the Greatest Common Factor of 66928 and 66943?

Greatest common factor (GCF) of 66928 and 66943 is 1.

GCF(66928,66943) = 1

We will now calculate the prime factors of 66928 and 66943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66928 and 66943.

How to find the GCF of 66928 and 66943?

We will first find the prime factorization of 66928 and 66943. After we will calculate the factors of 66928 and 66943 and find the biggest common factor number .

Step-1: Prime Factorization of 66928

Prime factors of 66928 are 2, 47, 89. Prime factorization of 66928 in exponential form is:

66928 = 2⁴ × 47¹ × 89¹

Step-2: Prime Factorization of 66943

Prime factors of 66943 are 66943. Prime factorization of 66943 in exponential form is:

66943 = 66943¹

Step-3: Factors of 66928

List of positive integer factors of 66928 that divides 66928 without a remainder.

1, 2, 4, 8, 16, 47, 89, 94, 178, 188, 356, 376, 712, 752, 1424, 4183, 8366, 16732, 33464

Step-4: Factors of 66943

List of positive integer factors of 66943 that divides 66928 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66928 and 66943. The biggest common factor number is the GCF number.
So the greatest common factor 66928 and 66943 is 1.

Also check out the Least Common Multiple of 66928 and 66943