What is the Greatest Common Factor of 75648 and 75666?

Greatest common factor (GCF) of 75648 and 75666 is 6.

GCF(75648,75666) = 6

We will now calculate the prime factors of 75648 and 75666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75648 and 75666.

How to find the GCF of 75648 and 75666?

We will first find the prime factorization of 75648 and 75666. After we will calculate the factors of 75648 and 75666 and find the biggest common factor number .

Step-1: Prime Factorization of 75648

Prime factors of 75648 are 2, 3, 197. Prime factorization of 75648 in exponential form is:

75648 = 2⁷ × 3¹ × 197¹

Step-2: Prime Factorization of 75666

Prime factors of 75666 are 2, 3, 12611. Prime factorization of 75666 in exponential form is:

75666 = 2¹ × 3¹ × 12611¹

Step-3: Factors of 75648

List of positive integer factors of 75648 that divides 75648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 197, 384, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 6304, 9456, 12608, 18912, 25216, 37824

Step-4: Factors of 75666

List of positive integer factors of 75666 that divides 75648 without a remainder.

1, 2, 3, 6, 12611, 25222, 37833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75648 and 75666. The biggest common factor number is the GCF number.
So the greatest common factor 75648 and 75666 is 6.

Also check out the Least Common Multiple of 75648 and 75666