What is the Greatest Common Factor of 64029 and 64045?

Greatest common factor (GCF) of 64029 and 64045 is 1.

GCF(64029,64045) = 1

We will now calculate the prime factors of 64029 and 64045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64029 and 64045.

How to find the GCF of 64029 and 64045?

We will first find the prime factorization of 64029 and 64045. After we will calculate the factors of 64029 and 64045 and find the biggest common factor number .

Step-1: Prime Factorization of 64029

Prime factors of 64029 are 3, 7, 3049. Prime factorization of 64029 in exponential form is:

64029 = 3¹ × 7¹ × 3049¹

Step-2: Prime Factorization of 64045

Prime factors of 64045 are 5, 12809. Prime factorization of 64045 in exponential form is:

64045 = 5¹ × 12809¹

Step-3: Factors of 64029

List of positive integer factors of 64029 that divides 64029 without a remainder.

1, 3, 7, 21, 3049, 9147, 21343

Step-4: Factors of 64045

List of positive integer factors of 64045 that divides 64029 without a remainder.

1, 5, 12809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64029 and 64045. The biggest common factor number is the GCF number.
So the greatest common factor 64029 and 64045 is 1.

Also check out the Least Common Multiple of 64029 and 64045