What is the Greatest Common Factor of 74835 and 74840?

Greatest common factor (GCF) of 74835 and 74840 is 5.

GCF(74835,74840) = 5

We will now calculate the prime factors of 74835 and 74840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74835 and 74840.

How to find the GCF of 74835 and 74840?

We will first find the prime factorization of 74835 and 74840. After we will calculate the factors of 74835 and 74840 and find the biggest common factor number .

Step-1: Prime Factorization of 74835

Prime factors of 74835 are 3, 5, 1663. Prime factorization of 74835 in exponential form is:

74835 = 3² × 5¹ × 1663¹

Step-2: Prime Factorization of 74840

Prime factors of 74840 are 2, 5, 1871. Prime factorization of 74840 in exponential form is:

74840 = 2³ × 5¹ × 1871¹

Step-3: Factors of 74835

List of positive integer factors of 74835 that divides 74835 without a remainder.

1, 3, 5, 9, 15, 45, 1663, 4989, 8315, 14967, 24945

Step-4: Factors of 74840

List of positive integer factors of 74840 that divides 74835 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1871, 3742, 7484, 9355, 14968, 18710, 37420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74835 and 74840. The biggest common factor number is the GCF number.
So the greatest common factor 74835 and 74840 is 5.

Also check out the Least Common Multiple of 74835 and 74840