What is the Greatest Common Factor of 75048 and 75060?

Greatest common factor (GCF) of 75048 and 75060 is 12.

GCF(75048,75060) = 12

We will now calculate the prime factors of 75048 and 75060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75048 and 75060.

How to find the GCF of 75048 and 75060?

We will first find the prime factorization of 75048 and 75060. After we will calculate the factors of 75048 and 75060 and find the biggest common factor number .

Step-1: Prime Factorization of 75048

Prime factors of 75048 are 2, 3, 53, 59. Prime factorization of 75048 in exponential form is:

75048 = 2³ × 3¹ × 53¹ × 59¹

Step-2: Prime Factorization of 75060

Prime factors of 75060 are 2, 3, 5, 139. Prime factorization of 75060 in exponential form is:

75060 = 2² × 3³ × 5¹ × 139¹

Step-3: Factors of 75048

List of positive integer factors of 75048 that divides 75048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 59, 106, 118, 159, 177, 212, 236, 318, 354, 424, 472, 636, 708, 1272, 1416, 3127, 6254, 9381, 12508, 18762, 25016, 37524

Step-4: Factors of 75060

List of positive integer factors of 75060 that divides 75048 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 139, 180, 270, 278, 417, 540, 556, 695, 834, 1251, 1390, 1668, 2085, 2502, 2780, 3753, 4170, 5004, 6255, 7506, 8340, 12510, 15012, 18765, 25020, 37530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75048 and 75060. The biggest common factor number is the GCF number.
So the greatest common factor 75048 and 75060 is 12.

Also check out the Least Common Multiple of 75048 and 75060