What is the Greatest Common Factor of 75454 and 75468?

Greatest common factor (GCF) of 75454 and 75468 is 2.

GCF(75454,75468) = 2

We will now calculate the prime factors of 75454 and 75468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75454 and 75468.

How to find the GCF of 75454 and 75468?

We will first find the prime factorization of 75454 and 75468. After we will calculate the factors of 75454 and 75468 and find the biggest common factor number .

Step-1: Prime Factorization of 75454

Prime factors of 75454 are 2, 31, 1217. Prime factorization of 75454 in exponential form is:

75454 = 2¹ × 31¹ × 1217¹

Step-2: 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-3: Factors of 75454

List of positive integer factors of 75454 that divides 75454 without a remainder.

1, 2, 31, 62, 1217, 2434, 37727

Step-4: Factors of 75468

List of positive integer factors of 75468 that divides 75454 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75454 and 75468. The biggest common factor number is the GCF number.
So the greatest common factor 75454 and 75468 is 2.

Also check out the Least Common Multiple of 75454 and 75468