What is the Greatest Common Factor of 75468 and 75484?

Greatest common factor (GCF) of 75468 and 75484 is 4.

GCF(75468,75484) = 4

We will now calculate the prime factors of 75468 and 75484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75468 and 75484.

How to find the GCF of 75468 and 75484?

We will first find the prime factorization of 75468 and 75484. After we will calculate the factors of 75468 and 75484 and find the biggest common factor number .

Step-1: Prime Factorization of 75468

Prime factors of 75468 are 2, 3, 19, 331. Prime factorization of 75468 in exponential form is:

75468 = 2² × 3¹ × 19¹ × 331¹

Step-2: Prime Factorization of 75484

Prime factors of 75484 are 2, 113, 167. Prime factorization of 75484 in exponential form is:

75484 = 2² × 113¹ × 167¹

Step-3: Factors of 75468

List of positive integer factors of 75468 that divides 75468 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 331, 662, 993, 1324, 1986, 3972, 6289, 12578, 18867, 25156, 37734

Step-4: Factors of 75484

List of positive integer factors of 75484 that divides 75468 without a remainder.

1, 2, 4, 113, 167, 226, 334, 452, 668, 18871, 37742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75468 and 75484. The biggest common factor number is the GCF number.
So the greatest common factor 75468 and 75484 is 4.

Also check out the Least Common Multiple of 75468 and 75484