What is the Greatest Common Factor of 75660 and 75679?

Greatest common factor (GCF) of 75660 and 75679 is 1.

GCF(75660,75679) = 1

We will now calculate the prime factors of 75660 and 75679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75660 and 75679.

How to find the GCF of 75660 and 75679?

We will first find the prime factorization of 75660 and 75679. After we will calculate the factors of 75660 and 75679 and find the biggest common factor number .

Step-1: Prime Factorization of 75660

Prime factors of 75660 are 2, 3, 5, 13, 97. Prime factorization of 75660 in exponential form is:

75660 = 2² × 3¹ × 5¹ × 13¹ × 97¹

Step-2: Prime Factorization of 75679

Prime factors of 75679 are 75679. Prime factorization of 75679 in exponential form is:

75679 = 75679¹

Step-3: Factors of 75660

List of positive integer factors of 75660 that divides 75660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 97, 130, 156, 194, 195, 260, 291, 388, 390, 485, 582, 780, 970, 1164, 1261, 1455, 1940, 2522, 2910, 3783, 5044, 5820, 6305, 7566, 12610, 15132, 18915, 25220, 37830

Step-4: Factors of 75679

List of positive integer factors of 75679 that divides 75660 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75660 and 75679. The biggest common factor number is the GCF number.
So the greatest common factor 75660 and 75679 is 1.

Also check out the Least Common Multiple of 75660 and 75679