What is the Greatest Common Factor of 59940 and 59950?

Greatest common factor (GCF) of 59940 and 59950 is 10.

GCF(59940,59950) = 10

We will now calculate the prime factors of 59940 and 59950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59940 and 59950.

How to find the GCF of 59940 and 59950?

We will first find the prime factorization of 59940 and 59950. After we will calculate the factors of 59940 and 59950 and find the biggest common factor number .

Step-1: Prime Factorization of 59940

Prime factors of 59940 are 2, 3, 5, 37. Prime factorization of 59940 in exponential form is:

59940 = 2² × 3⁴ × 5¹ × 37¹

Step-2: Prime Factorization of 59950

Prime factors of 59950 are 2, 5, 11, 109. Prime factorization of 59950 in exponential form is:

59950 = 2¹ × 5² × 11¹ × 109¹

Step-3: Factors of 59940

List of positive integer factors of 59940 that divides 59940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 37, 45, 54, 60, 74, 81, 90, 108, 111, 135, 148, 162, 180, 185, 222, 270, 324, 333, 370, 405, 444, 540, 555, 666, 740, 810, 999, 1110, 1332, 1620, 1665, 1998, 2220, 2997, 3330, 3996, 4995, 5994, 6660, 9990, 11988, 14985, 19980, 29970

Step-4: Factors of 59950

List of positive integer factors of 59950 that divides 59940 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 109, 110, 218, 275, 545, 550, 1090, 1199, 2398, 2725, 5450, 5995, 11990, 29975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59940 and 59950. The biggest common factor number is the GCF number.
So the greatest common factor 59940 and 59950 is 10.

Also check out the Least Common Multiple of 59940 and 59950