What is the Greatest Common Factor of 4 and 750?

Greatest common factor (GCF) of 4 and 750 is 2.

GCF(4,750) = 2

We will now calculate the prime factors of 4 and 750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 750.

How to find the GCF of 4 and 750?

We will first find the prime factorization of 4 and 750. After we will calculate the factors of 4 and 750 and find the biggest common factor number .

Step-1: Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 2²

Step-2: Prime Factorization of 750

Prime factors of 750 are 2, 3, 5. Prime factorization of 750 in exponential form is:

750 = 2¹ × 3¹ × 5³

Step-3: Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

Step-4: Factors of 750

List of positive integer factors of 750 that divides 4 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4 and 750. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 750 is 2.

Also check out the Least Common Multiple of 4 and 750