What is the Greatest Common Factor of 66775 and 66780?

Greatest common factor (GCF) of 66775 and 66780 is 5.

GCF(66775,66780) = 5

We will now calculate the prime factors of 66775 and 66780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66775 and 66780.

How to find the GCF of 66775 and 66780?

We will first find the prime factorization of 66775 and 66780. After we will calculate the factors of 66775 and 66780 and find the biggest common factor number .

Step-1: Prime Factorization of 66775

Prime factors of 66775 are 5, 2671. Prime factorization of 66775 in exponential form is:

66775 = 5² × 2671¹

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 66775

List of positive integer factors of 66775 that divides 66775 without a remainder.

1, 5, 25, 2671, 13355

Step-4: Factors of 66780

List of positive integer factors of 66780 that divides 66775 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 66775 and 66780. The biggest common factor number is the GCF number.
So the greatest common factor 66775 and 66780 is 5.

Also check out the Least Common Multiple of 66775 and 66780