What is the Greatest Common Factor of 75456 and 75474?

Greatest common factor (GCF) of 75456 and 75474 is 18.

GCF(75456,75474) = 18

We will now calculate the prime factors of 75456 and 75474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75456 and 75474.

How to find the GCF of 75456 and 75474?

We will first find the prime factorization of 75456 and 75474. After we will calculate the factors of 75456 and 75474 and find the biggest common factor number .

Step-1: Prime Factorization of 75456

Prime factors of 75456 are 2, 3, 131. Prime factorization of 75456 in exponential form is:

75456 = 2⁶ × 3² × 131¹

Step-2: Prime Factorization of 75474

Prime factors of 75474 are 2, 3, 7, 599. Prime factorization of 75474 in exponential form is:

75474 = 2¹ × 3² × 7¹ × 599¹

Step-3: Factors of 75456

List of positive integer factors of 75456 that divides 75456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 131, 144, 192, 262, 288, 393, 524, 576, 786, 1048, 1179, 1572, 2096, 2358, 3144, 4192, 4716, 6288, 8384, 9432, 12576, 18864, 25152, 37728

Step-4: Factors of 75474

List of positive integer factors of 75474 that divides 75456 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 599, 1198, 1797, 3594, 4193, 5391, 8386, 10782, 12579, 25158, 37737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75456 and 75474. The biggest common factor number is the GCF number.
So the greatest common factor 75456 and 75474 is 18.

Also check out the Least Common Multiple of 75456 and 75474