What is the Greatest Common Factor of 75914 and 75922?

Greatest common factor (GCF) of 75914 and 75922 is 2.

GCF(75914,75922) = 2

We will now calculate the prime factors of 75914 and 75922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75914 and 75922.

How to find the GCF of 75914 and 75922?

We will first find the prime factorization of 75914 and 75922. After we will calculate the factors of 75914 and 75922 and find the biggest common factor number .

Step-1: Prime Factorization of 75914

Prime factors of 75914 are 2, 37957. Prime factorization of 75914 in exponential form is:

75914 = 2¹ × 37957¹

Step-2: Prime Factorization of 75922

Prime factors of 75922 are 2, 7, 11, 17, 29. Prime factorization of 75922 in exponential form is:

75922 = 2¹ × 7¹ × 11¹ × 17¹ × 29¹

Step-3: Factors of 75914

List of positive integer factors of 75914 that divides 75914 without a remainder.

1, 2, 37957

Step-4: Factors of 75922

List of positive integer factors of 75922 that divides 75914 without a remainder.

1, 2, 7, 11, 14, 17, 22, 29, 34, 58, 77, 119, 154, 187, 203, 238, 319, 374, 406, 493, 638, 986, 1309, 2233, 2618, 3451, 4466, 5423, 6902, 10846, 37961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75914 and 75922. The biggest common factor number is the GCF number.
So the greatest common factor 75914 and 75922 is 2.

Also check out the Least Common Multiple of 75914 and 75922