What is the Greatest Common Factor of 59652 and 59665?

Greatest common factor (GCF) of 59652 and 59665 is 1.

GCF(59652,59665) = 1

We will now calculate the prime factors of 59652 and 59665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59652 and 59665.

How to find the GCF of 59652 and 59665?

We will first find the prime factorization of 59652 and 59665. After we will calculate the factors of 59652 and 59665 and find the biggest common factor number .

Step-1: Prime Factorization of 59652

Prime factors of 59652 are 2, 3, 1657. Prime factorization of 59652 in exponential form is:

59652 = 2² × 3² × 1657¹

Step-2: Prime Factorization of 59665

Prime factors of 59665 are 5, 11933. Prime factorization of 59665 in exponential form is:

59665 = 5¹ × 11933¹

Step-3: Factors of 59652

List of positive integer factors of 59652 that divides 59652 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1657, 3314, 4971, 6628, 9942, 14913, 19884, 29826

Step-4: Factors of 59665

List of positive integer factors of 59665 that divides 59652 without a remainder.

1, 5, 11933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59652 and 59665. The biggest common factor number is the GCF number.
So the greatest common factor 59652 and 59665 is 1.

Also check out the Least Common Multiple of 59652 and 59665