What is the Greatest Common Factor of 66854 and 66874?

Greatest common factor (GCF) of 66854 and 66874 is 2.

GCF(66854,66874) = 2

We will now calculate the prime factors of 66854 and 66874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66854 and 66874.

How to find the GCF of 66854 and 66874?

We will first find the prime factorization of 66854 and 66874. After we will calculate the factors of 66854 and 66874 and find the biggest common factor number .

Step-1: Prime Factorization of 66854

Prime factors of 66854 are 2, 33427. Prime factorization of 66854 in exponential form is:

66854 = 2¹ × 33427¹

Step-2: Prime Factorization of 66874

Prime factors of 66874 are 2, 29, 1153. Prime factorization of 66874 in exponential form is:

66874 = 2¹ × 29¹ × 1153¹

Step-3: Factors of 66854

List of positive integer factors of 66854 that divides 66854 without a remainder.

1, 2, 33427

Step-4: Factors of 66874

List of positive integer factors of 66874 that divides 66854 without a remainder.

1, 2, 29, 58, 1153, 2306, 33437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66854 and 66874. The biggest common factor number is the GCF number.
So the greatest common factor 66854 and 66874 is 2.

Also check out the Least Common Multiple of 66854 and 66874