What is the Greatest Common Factor of 66045 and 66049?

Greatest common factor (GCF) of 66045 and 66049 is 1.

GCF(66045,66049) = 1

We will now calculate the prime factors of 66045 and 66049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66045 and 66049.

How to find the GCF of 66045 and 66049?

We will first find the prime factorization of 66045 and 66049. After we will calculate the factors of 66045 and 66049 and find the biggest common factor number .

Step-1: Prime Factorization of 66045

Prime factors of 66045 are 3, 5, 7, 17, 37. Prime factorization of 66045 in exponential form is:

66045 = 3¹ × 5¹ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 66049

Prime factors of 66049 are 257. Prime factorization of 66049 in exponential form is:

66049 = 257²

Step-3: Factors of 66045

List of positive integer factors of 66045 that divides 66045 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 37, 51, 85, 105, 111, 119, 185, 255, 259, 357, 555, 595, 629, 777, 1295, 1785, 1887, 3145, 3885, 4403, 9435, 13209, 22015

Step-4: Factors of 66049

List of positive integer factors of 66049 that divides 66045 without a remainder.

1, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66045 and 66049. The biggest common factor number is the GCF number.
So the greatest common factor 66045 and 66049 is 1.

Also check out the Least Common Multiple of 66045 and 66049