What is the Greatest Common Factor of 66752 and 66759?

Greatest common factor (GCF) of 66752 and 66759 is 7.

GCF(66752,66759) = 7

We will now calculate the prime factors of 66752 and 66759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66752 and 66759.

How to find the GCF of 66752 and 66759?

We will first find the prime factorization of 66752 and 66759. After we will calculate the factors of 66752 and 66759 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 66759

Prime factors of 66759 are 3, 7, 11, 17. Prime factorization of 66759 in exponential form is:

66759 = 3¹ × 7¹ × 11¹ × 17²

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 66759

List of positive integer factors of 66759 that divides 66752 without a remainder.

1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 289, 357, 561, 867, 1309, 2023, 3179, 3927, 6069, 9537, 22253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66752 and 66759. The biggest common factor number is the GCF number.
So the greatest common factor 66752 and 66759 is 7.

Also check out the Least Common Multiple of 66752 and 66759