What is the Greatest Common Factor of 66045 and 66061?

Greatest common factor (GCF) of 66045 and 66061 is 1.

GCF(66045,66061) = 1

We will now calculate the prime factors of 66045 and 66061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66045 and 66061.

How to find the GCF of 66045 and 66061?

We will first find the prime factorization of 66045 and 66061. After we will calculate the factors of 66045 and 66061 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 66061

Prime factors of 66061 are 31, 2131. Prime factorization of 66061 in exponential form is:

66061 = 31¹ × 2131¹

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 66061

List of positive integer factors of 66061 that divides 66045 without a remainder.

1, 31, 2131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66045 and 66061. The biggest common factor number is the GCF number.
So the greatest common factor 66045 and 66061 is 1.

Also check out the Least Common Multiple of 66045 and 66061