What is the Greatest Common Factor of 3750 and 3766?

Greatest common factor (GCF) of 3750 and 3766 is 2.

GCF(3750,3766) = 2

We will now calculate the prime factors of 3750 and 3766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3750 and 3766.

How to find the GCF of 3750 and 3766?

We will first find the prime factorization of 3750 and 3766. After we will calculate the factors of 3750 and 3766 and find the biggest common factor number .

Step-1: Prime Factorization of 3750

Prime factors of 3750 are 2, 3, 5. Prime factorization of 3750 in exponential form is:

3750 = 2¹ × 3¹ × 5⁴

Step-2: Prime Factorization of 3766

Prime factors of 3766 are 2, 7, 269. Prime factorization of 3766 in exponential form is:

3766 = 2¹ × 7¹ × 269¹

Step-3: Factors of 3750

List of positive integer factors of 3750 that divides 3750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875

Step-4: Factors of 3766

List of positive integer factors of 3766 that divides 3750 without a remainder.

1, 2, 7, 14, 269, 538, 1883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3750 and 3766. The biggest common factor number is the GCF number.
So the greatest common factor 3750 and 3766 is 2.

Also check out the Least Common Multiple of 3750 and 3766