What is the Greatest Common Factor of 59649 and 59667?

Greatest common factor (GCF) of 59649 and 59667 is 3.

GCF(59649,59667) = 3

We will now calculate the prime factors of 59649 and 59667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59649 and 59667.

How to find the GCF of 59649 and 59667?

We will first find the prime factorization of 59649 and 59667. After we will calculate the factors of 59649 and 59667 and find the biggest common factor number .

Step-1: Prime Factorization of 59649

Prime factors of 59649 are 3, 59, 337. Prime factorization of 59649 in exponential form is:

59649 = 3¹ × 59¹ × 337¹

Step-2: Prime Factorization of 59667

Prime factors of 59667 are 3, 19889. Prime factorization of 59667 in exponential form is:

59667 = 3¹ × 19889¹

Step-3: Factors of 59649

List of positive integer factors of 59649 that divides 59649 without a remainder.

1, 3, 59, 177, 337, 1011, 19883

Step-4: Factors of 59667

List of positive integer factors of 59667 that divides 59649 without a remainder.

1, 3, 19889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59649 and 59667. The biggest common factor number is the GCF number.
So the greatest common factor 59649 and 59667 is 3.

Also check out the Least Common Multiple of 59649 and 59667