What is the Greatest Common Factor of 75938 and 75950?

Greatest common factor (GCF) of 75938 and 75950 is 2.

GCF(75938,75950) = 2

We will now calculate the prime factors of 75938 and 75950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75938 and 75950.

How to find the GCF of 75938 and 75950?

We will first find the prime factorization of 75938 and 75950. After we will calculate the factors of 75938 and 75950 and find the biggest common factor number .

Step-1: Prime Factorization of 75938

Prime factors of 75938 are 2, 43, 883. Prime factorization of 75938 in exponential form is:

75938 = 2¹ × 43¹ × 883¹

Step-2: Prime Factorization of 75950

Prime factors of 75950 are 2, 5, 7, 31. Prime factorization of 75950 in exponential form is:

75950 = 2¹ × 5² × 7² × 31¹

Step-3: Factors of 75938

List of positive integer factors of 75938 that divides 75938 without a remainder.

1, 2, 43, 86, 883, 1766, 37969

Step-4: Factors of 75950

List of positive integer factors of 75950 that divides 75938 without a remainder.

1, 2, 5, 7, 10, 14, 25, 31, 35, 49, 50, 62, 70, 98, 155, 175, 217, 245, 310, 350, 434, 490, 775, 1085, 1225, 1519, 1550, 2170, 2450, 3038, 5425, 7595, 10850, 15190, 37975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75938 and 75950. The biggest common factor number is the GCF number.
So the greatest common factor 75938 and 75950 is 2.

Also check out the Least Common Multiple of 75938 and 75950