What is the Greatest Common Factor of 75666 and 75672?

Greatest common factor (GCF) of 75666 and 75672 is 6.

GCF(75666,75672) = 6

We will now calculate the prime factors of 75666 and 75672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75666 and 75672.

How to find the GCF of 75666 and 75672?

We will first find the prime factorization of 75666 and 75672. After we will calculate the factors of 75666 and 75672 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75672

Prime factors of 75672 are 2, 3, 1051. Prime factorization of 75672 in exponential form is:

75672 = 2³ × 3² × 1051¹

Step-3: Factors of 75666

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

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

Step-4: Factors of 75672

List of positive integer factors of 75672 that divides 75666 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1051, 2102, 3153, 4204, 6306, 8408, 9459, 12612, 18918, 25224, 37836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75666 and 75672. The biggest common factor number is the GCF number.
So the greatest common factor 75666 and 75672 is 6.

Also check out the Least Common Multiple of 75666 and 75672