What is the Greatest Common Factor of 66038 and 66045?

Greatest common factor (GCF) of 66038 and 66045 is 7.

GCF(66038,66045) = 7

We will now calculate the prime factors of 66038 and 66045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66038 and 66045.

How to find the GCF of 66038 and 66045?

We will first find the prime factorization of 66038 and 66045. After we will calculate the factors of 66038 and 66045 and find the biggest common factor number .

Step-1: Prime Factorization of 66038

Prime factors of 66038 are 2, 7, 53, 89. Prime factorization of 66038 in exponential form is:

66038 = 2¹ × 7¹ × 53¹ × 89¹

Step-2: 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-3: Factors of 66038

List of positive integer factors of 66038 that divides 66038 without a remainder.

1, 2, 7, 14, 53, 89, 106, 178, 371, 623, 742, 1246, 4717, 9434, 33019

Step-4: Factors of 66045

List of positive integer factors of 66045 that divides 66038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66038 and 66045. The biggest common factor number is the GCF number.
So the greatest common factor 66038 and 66045 is 7.

Also check out the Least Common Multiple of 66038 and 66045