What is the Greatest Common Factor of 66752 and 66766?

Greatest common factor (GCF) of 66752 and 66766 is 14.

GCF(66752,66766) = 14

We will now calculate the prime factors of 66752 and 66766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66752 and 66766.

How to find the GCF of 66752 and 66766?

We will first find the prime factorization of 66752 and 66766. After we will calculate the factors of 66752 and 66766 and find the biggest common factor number .

Step-1: Prime Factorization of 66752

Prime factors of 66752 are 2, 7, 149. Prime factorization of 66752 in exponential form is:

66752 = 2⁶ × 7¹ × 149¹

Step-2: Prime Factorization of 66766

Prime factors of 66766 are 2, 7, 19, 251. Prime factorization of 66766 in exponential form is:

66766 = 2¹ × 7¹ × 19¹ × 251¹

Step-3: Factors of 66752

List of positive integer factors of 66752 that divides 66752 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 149, 224, 298, 448, 596, 1043, 1192, 2086, 2384, 4172, 4768, 8344, 9536, 16688, 33376

Step-4: Factors of 66766

List of positive integer factors of 66766 that divides 66752 without a remainder.

1, 2, 7, 14, 19, 38, 133, 251, 266, 502, 1757, 3514, 4769, 9538, 33383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66752 and 66766. The biggest common factor number is the GCF number.
So the greatest common factor 66752 and 66766 is 14.

Also check out the Least Common Multiple of 66752 and 66766