What is the Greatest Common Factor of 59649 and 59669?

Greatest common factor (GCF) of 59649 and 59669 is 1.

GCF(59649,59669) = 1

We will now calculate the prime factors of 59649 and 59669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59649 and 59669.

How to find the GCF of 59649 and 59669?

We will first find the prime factorization of 59649 and 59669. After we will calculate the factors of 59649 and 59669 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 59669

Prime factors of 59669 are 59669. Prime factorization of 59669 in exponential form is:

59669 = 59669¹

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 59669

List of positive integer factors of 59669 that divides 59649 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59649 and 59669. The biggest common factor number is the GCF number.
So the greatest common factor 59649 and 59669 is 1.

Also check out the Least Common Multiple of 59649 and 59669