What is the Greatest Common Factor of 66942 and 66949?

Greatest common factor (GCF) of 66942 and 66949 is 1.

GCF(66942,66949) = 1

We will now calculate the prime factors of 66942 and 66949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66942 and 66949.

How to find the GCF of 66942 and 66949?

We will first find the prime factorization of 66942 and 66949. After we will calculate the factors of 66942 and 66949 and find the biggest common factor number .

Step-1: Prime Factorization of 66942

Prime factors of 66942 are 2, 3, 3719. Prime factorization of 66942 in exponential form is:

66942 = 2¹ × 3² × 3719¹

Step-2: Prime Factorization of 66949

Prime factors of 66949 are 66949. Prime factorization of 66949 in exponential form is:

66949 = 66949¹

Step-3: Factors of 66942

List of positive integer factors of 66942 that divides 66942 without a remainder.

1, 2, 3, 6, 9, 18, 3719, 7438, 11157, 22314, 33471

Step-4: Factors of 66949

List of positive integer factors of 66949 that divides 66942 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66942 and 66949. The biggest common factor number is the GCF number.
So the greatest common factor 66942 and 66949 is 1.

Also check out the Least Common Multiple of 66942 and 66949