What is the Greatest Common Factor of 66772 and 66780?

Greatest common factor (GCF) of 66772 and 66780 is 4.

GCF(66772,66780) = 4

We will now calculate the prime factors of 66772 and 66780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66772 and 66780.

How to find the GCF of 66772 and 66780?

We will first find the prime factorization of 66772 and 66780. After we will calculate the factors of 66772 and 66780 and find the biggest common factor number .

Step-1: Prime Factorization of 66772

Prime factors of 66772 are 2, 16693. Prime factorization of 66772 in exponential form is:

66772 = 2² × 16693¹

Step-2: Prime Factorization of 66780

Prime factors of 66780 are 2, 3, 5, 7, 53. Prime factorization of 66780 in exponential form is:

66780 = 2² × 3² × 5¹ × 7¹ × 53¹

Step-3: Factors of 66772

List of positive integer factors of 66772 that divides 66772 without a remainder.

1, 2, 4, 16693, 33386

Step-4: Factors of 66780

List of positive integer factors of 66780 that divides 66772 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 53, 60, 63, 70, 84, 90, 105, 106, 126, 140, 159, 180, 210, 212, 252, 265, 315, 318, 371, 420, 477, 530, 630, 636, 742, 795, 954, 1060, 1113, 1260, 1484, 1590, 1855, 1908, 2226, 2385, 3180, 3339, 3710, 4452, 4770, 5565, 6678, 7420, 9540, 11130, 13356, 16695, 22260, 33390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66772 and 66780. The biggest common factor number is the GCF number.
So the greatest common factor 66772 and 66780 is 4.

Also check out the Least Common Multiple of 66772 and 66780