What is the Greatest Common Factor of 75456 and 75466?

Greatest common factor (GCF) of 75456 and 75466 is 2.

GCF(75456,75466) = 2

We will now calculate the prime factors of 75456 and 75466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75456 and 75466.

How to find the GCF of 75456 and 75466?

We will first find the prime factorization of 75456 and 75466. After we will calculate the factors of 75456 and 75466 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 75466

Prime factors of 75466 are 2, 97, 389. Prime factorization of 75466 in exponential form is:

75466 = 2¹ × 97¹ × 389¹

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 75466

List of positive integer factors of 75466 that divides 75456 without a remainder.

1, 2, 97, 194, 389, 778, 37733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75456 and 75466. The biggest common factor number is the GCF number.
So the greatest common factor 75456 and 75466 is 2.

Also check out the Least Common Multiple of 75456 and 75466