What is the Greatest Common Factor of 66074 and 66092?

Greatest common factor (GCF) of 66074 and 66092 is 2.

GCF(66074,66092) = 2

We will now calculate the prime factors of 66074 and 66092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66074 and 66092.

How to find the GCF of 66074 and 66092?

We will first find the prime factorization of 66074 and 66092. After we will calculate the factors of 66074 and 66092 and find the biggest common factor number .

Step-1: Prime Factorization of 66074

Prime factors of 66074 are 2, 33037. Prime factorization of 66074 in exponential form is:

66074 = 2¹ × 33037¹

Step-2: Prime Factorization of 66092

Prime factors of 66092 are 2, 13, 31, 41. Prime factorization of 66092 in exponential form is:

66092 = 2² × 13¹ × 31¹ × 41¹

Step-3: Factors of 66074

List of positive integer factors of 66074 that divides 66074 without a remainder.

1, 2, 33037

Step-4: Factors of 66092

List of positive integer factors of 66092 that divides 66074 without a remainder.

1, 2, 4, 13, 26, 31, 41, 52, 62, 82, 124, 164, 403, 533, 806, 1066, 1271, 1612, 2132, 2542, 5084, 16523, 33046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66074 and 66092. The biggest common factor number is the GCF number.
So the greatest common factor 66074 and 66092 is 2.

Also check out the Least Common Multiple of 66074 and 66092