What is the Greatest Common Factor of 59751 and 59760?

Greatest common factor (GCF) of 59751 and 59760 is 9.

GCF(59751,59760) = 9

We will now calculate the prime factors of 59751 and 59760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59751 and 59760.

How to find the GCF of 59751 and 59760?

We will first find the prime factorization of 59751 and 59760. After we will calculate the factors of 59751 and 59760 and find the biggest common factor number .

Step-1: Prime Factorization of 59751

Prime factors of 59751 are 3, 2213. Prime factorization of 59751 in exponential form is:

59751 = 3³ × 2213¹

Step-2: Prime Factorization of 59760

Prime factors of 59760 are 2, 3, 5, 83. Prime factorization of 59760 in exponential form is:

59760 = 2⁴ × 3² × 5¹ × 83¹

Step-3: Factors of 59751

List of positive integer factors of 59751 that divides 59751 without a remainder.

1, 3, 9, 27, 2213, 6639, 19917

Step-4: Factors of 59760

List of positive integer factors of 59760 that divides 59751 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 83, 90, 120, 144, 166, 180, 240, 249, 332, 360, 415, 498, 664, 720, 747, 830, 996, 1245, 1328, 1494, 1660, 1992, 2490, 2988, 3320, 3735, 3984, 4980, 5976, 6640, 7470, 9960, 11952, 14940, 19920, 29880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59751 and 59760. The biggest common factor number is the GCF number.
So the greatest common factor 59751 and 59760 is 9.

Also check out the Least Common Multiple of 59751 and 59760