What is the Greatest Common Factor of 66675 and 66693?

Greatest common factor (GCF) of 66675 and 66693 is 3.

GCF(66675,66693) = 3

We will now calculate the prime factors of 66675 and 66693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66675 and 66693.

How to find the GCF of 66675 and 66693?

We will first find the prime factorization of 66675 and 66693. After we will calculate the factors of 66675 and 66693 and find the biggest common factor number .

Step-1: Prime Factorization of 66675

Prime factors of 66675 are 3, 5, 7, 127. Prime factorization of 66675 in exponential form is:

66675 = 3¹ × 5² × 7¹ × 127¹

Step-2: Prime Factorization of 66693

Prime factors of 66693 are 3, 11, 43, 47. Prime factorization of 66693 in exponential form is:

66693 = 3¹ × 11¹ × 43¹ × 47¹

Step-3: Factors of 66675

List of positive integer factors of 66675 that divides 66675 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 127, 175, 381, 525, 635, 889, 1905, 2667, 3175, 4445, 9525, 13335, 22225

Step-4: Factors of 66693

List of positive integer factors of 66693 that divides 66675 without a remainder.

1, 3, 11, 33, 43, 47, 129, 141, 473, 517, 1419, 1551, 2021, 6063, 22231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66675 and 66693. The biggest common factor number is the GCF number.
So the greatest common factor 66675 and 66693 is 3.

Also check out the Least Common Multiple of 66675 and 66693