What is the Greatest Common Factor of 3750 and 3770?

Greatest common factor (GCF) of 3750 and 3770 is 10.

GCF(3750,3770) = 10

We will now calculate the prime factors of 3750 and 3770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3750 and 3770.

How to find the GCF of 3750 and 3770?

We will first find the prime factorization of 3750 and 3770. After we will calculate the factors of 3750 and 3770 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 3770

Prime factors of 3770 are 2, 5, 13, 29. Prime factorization of 3770 in exponential form is:

3770 = 2¹ × 5¹ × 13¹ × 29¹

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 3770

List of positive integer factors of 3770 that divides 3750 without a remainder.

1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3750 and 3770. The biggest common factor number is the GCF number.
So the greatest common factor 3750 and 3770 is 10.

Also check out the Least Common Multiple of 3750 and 3770