What is the Greatest Common Factor of 74886 and 74895?

Greatest common factor (GCF) of 74886 and 74895 is 3.

GCF(74886,74895) = 3

We will now calculate the prime factors of 74886 and 74895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74886 and 74895.

How to find the GCF of 74886 and 74895?

We will first find the prime factorization of 74886 and 74895. After we will calculate the factors of 74886 and 74895 and find the biggest common factor number .

Step-1: Prime Factorization of 74886

Prime factors of 74886 are 2, 3, 7, 1783. Prime factorization of 74886 in exponential form is:

74886 = 2¹ × 3¹ × 7¹ × 1783¹

Step-2: Prime Factorization of 74895

Prime factors of 74895 are 3, 5, 4993. Prime factorization of 74895 in exponential form is:

74895 = 3¹ × 5¹ × 4993¹

Step-3: Factors of 74886

List of positive integer factors of 74886 that divides 74886 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1783, 3566, 5349, 10698, 12481, 24962, 37443

Step-4: Factors of 74895

List of positive integer factors of 74895 that divides 74886 without a remainder.

1, 3, 5, 15, 4993, 14979, 24965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74886 and 74895. The biggest common factor number is the GCF number.
So the greatest common factor 74886 and 74895 is 3.

Also check out the Least Common Multiple of 74886 and 74895