What is the Greatest Common Factor of 59760 and 59768?

Greatest common factor (GCF) of 59760 and 59768 is 8.

GCF(59760,59768) = 8

We will now calculate the prime factors of 59760 and 59768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59760 and 59768.

How to find the GCF of 59760 and 59768?

We will first find the prime factorization of 59760 and 59768. After we will calculate the factors of 59760 and 59768 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59768

Prime factors of 59768 are 2, 31, 241. Prime factorization of 59768 in exponential form is:

59768 = 2³ × 31¹ × 241¹

Step-3: Factors of 59760

List of positive integer factors of 59760 that divides 59760 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

Step-4: Factors of 59768

List of positive integer factors of 59768 that divides 59760 without a remainder.

1, 2, 4, 8, 31, 62, 124, 241, 248, 482, 964, 1928, 7471, 14942, 29884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59760 and 59768. The biggest common factor number is the GCF number.
So the greatest common factor 59760 and 59768 is 8.

Also check out the Least Common Multiple of 59760 and 59768