What is the Greatest Common Factor of 74865 and 74875?

Greatest common factor (GCF) of 74865 and 74875 is 5.

GCF(74865,74875) = 5

We will now calculate the prime factors of 74865 and 74875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74865 and 74875.

How to find the GCF of 74865 and 74875?

We will first find the prime factorization of 74865 and 74875. After we will calculate the factors of 74865 and 74875 and find the biggest common factor number .

Step-1: Prime Factorization of 74865

Prime factors of 74865 are 3, 5, 7, 23, 31. Prime factorization of 74865 in exponential form is:

74865 = 3¹ × 5¹ × 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 74875

Prime factors of 74875 are 5, 599. Prime factorization of 74875 in exponential form is:

74875 = 5³ × 599¹

Step-3: Factors of 74865

List of positive integer factors of 74865 that divides 74865 without a remainder.

1, 3, 5, 7, 15, 21, 23, 31, 35, 69, 93, 105, 115, 155, 161, 217, 345, 465, 483, 651, 713, 805, 1085, 2139, 2415, 3255, 3565, 4991, 10695, 14973, 24955

Step-4: Factors of 74875

List of positive integer factors of 74875 that divides 74865 without a remainder.

1, 5, 25, 125, 599, 2995, 14975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74865 and 74875. The biggest common factor number is the GCF number.
So the greatest common factor 74865 and 74875 is 5.

Also check out the Least Common Multiple of 74865 and 74875