What is the Greatest Common Factor of 66928 and 66940?

Greatest common factor (GCF) of 66928 and 66940 is 4.

GCF(66928,66940) = 4

We will now calculate the prime factors of 66928 and 66940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66928 and 66940.

How to find the GCF of 66928 and 66940?

We will first find the prime factorization of 66928 and 66940. After we will calculate the factors of 66928 and 66940 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 66940

Prime factors of 66940 are 2, 5, 3347. Prime factorization of 66940 in exponential form is:

66940 = 2² × 5¹ × 3347¹

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 66940

List of positive integer factors of 66940 that divides 66928 without a remainder.

1, 2, 4, 5, 10, 20, 3347, 6694, 13388, 16735, 33470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66928 and 66940. The biggest common factor number is the GCF number.
So the greatest common factor 66928 and 66940 is 4.

Also check out the Least Common Multiple of 66928 and 66940