What is the Greatest Common Factor of 66856 and 66874?

Greatest common factor (GCF) of 66856 and 66874 is 2.

GCF(66856,66874) = 2

We will now calculate the prime factors of 66856 and 66874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66856 and 66874.

How to find the GCF of 66856 and 66874?

We will first find the prime factorization of 66856 and 66874. After we will calculate the factors of 66856 and 66874 and find the biggest common factor number .

Step-1: Prime Factorization of 66856

Prime factors of 66856 are 2, 61, 137. Prime factorization of 66856 in exponential form is:

66856 = 2³ × 61¹ × 137¹

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 66856

List of positive integer factors of 66856 that divides 66856 without a remainder.

1, 2, 4, 8, 61, 122, 137, 244, 274, 488, 548, 1096, 8357, 16714, 33428

Step-4: Factors of 66874

List of positive integer factors of 66874 that divides 66856 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66856 and 66874. The biggest common factor number is the GCF number.
So the greatest common factor 66856 and 66874 is 2.

Also check out the Least Common Multiple of 66856 and 66874