What is the Greatest Common Factor of 3720 and 3735?

Greatest common factor (GCF) of 3720 and 3735 is 15.

GCF(3720,3735) = 15

We will now calculate the prime factors of 3720 and 3735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3720 and 3735.

How to find the GCF of 3720 and 3735?

We will first find the prime factorization of 3720 and 3735. After we will calculate the factors of 3720 and 3735 and find the biggest common factor number .

Step-1: Prime Factorization of 3720

Prime factors of 3720 are 2, 3, 5, 31. Prime factorization of 3720 in exponential form is:

3720 = 2³ × 3¹ × 5¹ × 31¹

Step-2: Prime Factorization of 3735

Prime factors of 3735 are 3, 5, 83. Prime factorization of 3735 in exponential form is:

3735 = 3² × 5¹ × 83¹

Step-3: Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860

Step-4: Factors of 3735

List of positive integer factors of 3735 that divides 3720 without a remainder.

1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3720 and 3735. The biggest common factor number is the GCF number.
So the greatest common factor 3720 and 3735 is 15.

Also check out the Least Common Multiple of 3720 and 3735