What is the Greatest Common Factor of 75686 and 75698?

Greatest common factor (GCF) of 75686 and 75698 is 2.

GCF(75686,75698) = 2

We will now calculate the prime factors of 75686 and 75698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75686 and 75698.

How to find the GCF of 75686 and 75698?

We will first find the prime factorization of 75686 and 75698. After we will calculate the factors of 75686 and 75698 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 75698

Prime factors of 75698 are 2, 7, 5407. Prime factorization of 75698 in exponential form is:

75698 = 2¹ × 7¹ × 5407¹

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 75698

List of positive integer factors of 75698 that divides 75686 without a remainder.

1, 2, 7, 14, 5407, 10814, 37849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75686 and 75698. The biggest common factor number is the GCF number.
So the greatest common factor 75686 and 75698 is 2.

Also check out the Least Common Multiple of 75686 and 75698