What is the Greatest Common Factor of 66734 and 66748?

Greatest common factor (GCF) of 66734 and 66748 is 2.

GCF(66734,66748) = 2

We will now calculate the prime factors of 66734 and 66748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66734 and 66748.

How to find the GCF of 66734 and 66748?

We will first find the prime factorization of 66734 and 66748. After we will calculate the factors of 66734 and 66748 and find the biggest common factor number .

Step-1: Prime Factorization of 66734

Prime factors of 66734 are 2, 61, 547. Prime factorization of 66734 in exponential form is:

66734 = 2¹ × 61¹ × 547¹

Step-2: Prime Factorization of 66748

Prime factors of 66748 are 2, 11, 37, 41. Prime factorization of 66748 in exponential form is:

66748 = 2² × 11¹ × 37¹ × 41¹

Step-3: Factors of 66734

List of positive integer factors of 66734 that divides 66734 without a remainder.

1, 2, 61, 122, 547, 1094, 33367

Step-4: Factors of 66748

List of positive integer factors of 66748 that divides 66734 without a remainder.

1, 2, 4, 11, 22, 37, 41, 44, 74, 82, 148, 164, 407, 451, 814, 902, 1517, 1628, 1804, 3034, 6068, 16687, 33374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66734 and 66748. The biggest common factor number is the GCF number.
So the greatest common factor 66734 and 66748 is 2.

Also check out the Least Common Multiple of 66734 and 66748