What is the Greatest Common Factor of 66969 and 66975?

Greatest common factor (GCF) of 66969 and 66975 is 3.

GCF(66969,66975) = 3

We will now calculate the prime factors of 66969 and 66975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66969 and 66975.

How to find the GCF of 66969 and 66975?

We will first find the prime factorization of 66969 and 66975. After we will calculate the factors of 66969 and 66975 and find the biggest common factor number .

Step-1: Prime Factorization of 66969

Prime factors of 66969 are 3, 7, 1063. Prime factorization of 66969 in exponential form is:

66969 = 3² × 7¹ × 1063¹

Step-2: Prime Factorization of 66975

Prime factors of 66975 are 3, 5, 19, 47. Prime factorization of 66975 in exponential form is:

66975 = 3¹ × 5² × 19¹ × 47¹

Step-3: Factors of 66969

List of positive integer factors of 66969 that divides 66969 without a remainder.

1, 3, 7, 9, 21, 63, 1063, 3189, 7441, 9567, 22323

Step-4: Factors of 66975

List of positive integer factors of 66975 that divides 66969 without a remainder.

1, 3, 5, 15, 19, 25, 47, 57, 75, 95, 141, 235, 285, 475, 705, 893, 1175, 1425, 2679, 3525, 4465, 13395, 22325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66969 and 66975. The biggest common factor number is the GCF number.
So the greatest common factor 66969 and 66975 is 3.

Also check out the Least Common Multiple of 66969 and 66975