What is the Greatest Common Factor of 74996 and 75016?

Greatest common factor (GCF) of 74996 and 75016 is 4.

GCF(74996,75016) = 4

We will now calculate the prime factors of 74996 and 75016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74996 and 75016.

How to find the GCF of 74996 and 75016?

We will first find the prime factorization of 74996 and 75016. After we will calculate the factors of 74996 and 75016 and find the biggest common factor number .

Step-1: Prime Factorization of 74996

Prime factors of 74996 are 2, 18749. Prime factorization of 74996 in exponential form is:

74996 = 2² × 18749¹

Step-2: Prime Factorization of 75016

Prime factors of 75016 are 2, 9377. Prime factorization of 75016 in exponential form is:

75016 = 2³ × 9377¹

Step-3: Factors of 74996

List of positive integer factors of 74996 that divides 74996 without a remainder.

1, 2, 4, 18749, 37498

Step-4: Factors of 75016

List of positive integer factors of 75016 that divides 74996 without a remainder.

1, 2, 4, 8, 9377, 18754, 37508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74996 and 75016. The biggest common factor number is the GCF number.
So the greatest common factor 74996 and 75016 is 4.

Also check out the Least Common Multiple of 74996 and 75016