What is the Greatest Common Factor of 75686 and 75690?

Greatest common factor (GCF) of 75686 and 75690 is 2.

GCF(75686,75690) = 2

We will now calculate the prime factors of 75686 and 75690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75686 and 75690.

How to find the GCF of 75686 and 75690?

We will first find the prime factorization of 75686 and 75690. After we will calculate the factors of 75686 and 75690 and find the biggest common factor number .

Step-1: Prime Factorization of 75686

Prime factors of 75686 are 2, 13, 41, 71. Prime factorization of 75686 in exponential form is:

75686 = 2¹ × 13¹ × 41¹ × 71¹

Step-2: Prime Factorization of 75690

Prime factors of 75690 are 2, 3, 5, 29. Prime factorization of 75690 in exponential form is:

75690 = 2¹ × 3² × 5¹ × 29²

Step-3: Factors of 75686

List of positive integer factors of 75686 that divides 75686 without a remainder.

1, 2, 13, 26, 41, 71, 82, 142, 533, 923, 1066, 1846, 2911, 5822, 37843

Step-4: Factors of 75690

List of positive integer factors of 75690 that divides 75686 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 841, 870, 1305, 1682, 2523, 2610, 4205, 5046, 7569, 8410, 12615, 15138, 25230, 37845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75686 and 75690. The biggest common factor number is the GCF number.
So the greatest common factor 75686 and 75690 is 2.

Also check out the Least Common Multiple of 75686 and 75690