What is the Greatest Common Factor of 74856 and 74865?

Greatest common factor (GCF) of 74856 and 74865 is 3.

GCF(74856,74865) = 3

We will now calculate the prime factors of 74856 and 74865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74856 and 74865.

How to find the GCF of 74856 and 74865?

We will first find the prime factorization of 74856 and 74865. After we will calculate the factors of 74856 and 74865 and find the biggest common factor number .

Step-1: Prime Factorization of 74856

Prime factors of 74856 are 2, 3, 3119. Prime factorization of 74856 in exponential form is:

74856 = 2³ × 3¹ × 3119¹

Step-2: 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-3: Factors of 74856

List of positive integer factors of 74856 that divides 74856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3119, 6238, 9357, 12476, 18714, 24952, 37428

Step-4: Factors of 74865

List of positive integer factors of 74865 that divides 74856 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74856 and 74865. The biggest common factor number is the GCF number.
So the greatest common factor 74856 and 74865 is 3.

Also check out the Least Common Multiple of 74856 and 74865