What is the Greatest Common Factor of 75720 and 75732?

Greatest common factor (GCF) of 75720 and 75732 is 12.

GCF(75720,75732) = 12

We will now calculate the prime factors of 75720 and 75732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75720 and 75732.

How to find the GCF of 75720 and 75732?

We will first find the prime factorization of 75720 and 75732. After we will calculate the factors of 75720 and 75732 and find the biggest common factor number .

Step-1: Prime Factorization of 75720

Prime factors of 75720 are 2, 3, 5, 631. Prime factorization of 75720 in exponential form is:

75720 = 2³ × 3¹ × 5¹ × 631¹

Step-2: Prime Factorization of 75732

Prime factors of 75732 are 2, 3, 6311. Prime factorization of 75732 in exponential form is:

75732 = 2² × 3¹ × 6311¹

Step-3: Factors of 75720

List of positive integer factors of 75720 that divides 75720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 631, 1262, 1893, 2524, 3155, 3786, 5048, 6310, 7572, 9465, 12620, 15144, 18930, 25240, 37860

Step-4: Factors of 75732

List of positive integer factors of 75732 that divides 75720 without a remainder.

1, 2, 3, 4, 6, 12, 6311, 12622, 18933, 25244, 37866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75720 and 75732. The biggest common factor number is the GCF number.
So the greatest common factor 75720 and 75732 is 12.

Also check out the Least Common Multiple of 75720 and 75732