What is the Greatest Common Factor of 64545 and 64558?

Greatest common factor (GCF) of 64545 and 64558 is 13.

GCF(64545,64558) = 13

We will now calculate the prime factors of 64545 and 64558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64545 and 64558.

How to find the GCF of 64545 and 64558?

We will first find the prime factorization of 64545 and 64558. After we will calculate the factors of 64545 and 64558 and find the biggest common factor number .

Step-1: Prime Factorization of 64545

Prime factors of 64545 are 3, 5, 13, 331. Prime factorization of 64545 in exponential form is:

64545 = 3¹ × 5¹ × 13¹ × 331¹

Step-2: Prime Factorization of 64558

Prime factors of 64558 are 2, 13, 191. Prime factorization of 64558 in exponential form is:

64558 = 2¹ × 13² × 191¹

Step-3: Factors of 64545

List of positive integer factors of 64545 that divides 64545 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 331, 993, 1655, 4303, 4965, 12909, 21515

Step-4: Factors of 64558

List of positive integer factors of 64558 that divides 64545 without a remainder.

1, 2, 13, 26, 169, 191, 338, 382, 2483, 4966, 32279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64545 and 64558. The biggest common factor number is the GCF number.
So the greatest common factor 64545 and 64558 is 13.

Also check out the Least Common Multiple of 64545 and 64558