What is the Greatest Common Factor of 3750 and 3769?

Greatest common factor (GCF) of 3750 and 3769 is 1.

GCF(3750,3769) = 1

We will now calculate the prime factors of 3750 and 3769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3750 and 3769.

How to find the GCF of 3750 and 3769?

We will first find the prime factorization of 3750 and 3769. After we will calculate the factors of 3750 and 3769 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 3769

Prime factors of 3769 are 3769. Prime factorization of 3769 in exponential form is:

3769 = 3769¹

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 3769

List of positive integer factors of 3769 that divides 3750 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3750 and 3769. The biggest common factor number is the GCF number.
So the greatest common factor 3750 and 3769 is 1.

Also check out the Least Common Multiple of 3750 and 3769