What is the Greatest Common Factor of 75646 and 75660?

Greatest common factor (GCF) of 75646 and 75660 is 2.

GCF(75646,75660) = 2

We will now calculate the prime factors of 75646 and 75660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75646 and 75660.

How to find the GCF of 75646 and 75660?

We will first find the prime factorization of 75646 and 75660. After we will calculate the factors of 75646 and 75660 and find the biggest common factor number .

Step-1: Prime Factorization of 75646

Prime factors of 75646 are 2, 109, 347. Prime factorization of 75646 in exponential form is:

75646 = 2¹ × 109¹ × 347¹

Step-2: 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-3: Factors of 75646

List of positive integer factors of 75646 that divides 75646 without a remainder.

1, 2, 109, 218, 347, 694, 37823

Step-4: Factors of 75660

List of positive integer factors of 75660 that divides 75646 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75646 and 75660. The biggest common factor number is the GCF number.
So the greatest common factor 75646 and 75660 is 2.

Also check out the Least Common Multiple of 75646 and 75660