What is the Greatest Common Factor of 75456 and 75462?

Greatest common factor (GCF) of 75456 and 75462 is 6.

GCF(75456,75462) = 6

We will now calculate the prime factors of 75456 and 75462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75456 and 75462.

How to find the GCF of 75456 and 75462?

We will first find the prime factorization of 75456 and 75462. After we will calculate the factors of 75456 and 75462 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 75462

Prime factors of 75462 are 2, 3, 12577. Prime factorization of 75462 in exponential form is:

75462 = 2¹ × 3¹ × 12577¹

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 75462

List of positive integer factors of 75462 that divides 75456 without a remainder.

1, 2, 3, 6, 12577, 25154, 37731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75456 and 75462. The biggest common factor number is the GCF number.
So the greatest common factor 75456 and 75462 is 6.

Also check out the Least Common Multiple of 75456 and 75462