What is the Greatest Common Factor of 74805 and 74811?

Greatest common factor (GCF) of 74805 and 74811 is 3.

GCF(74805,74811) = 3

We will now calculate the prime factors of 74805 and 74811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74805 and 74811.

How to find the GCF of 74805 and 74811?

We will first find the prime factorization of 74805 and 74811. After we will calculate the factors of 74805 and 74811 and find the biggest common factor number .

Step-1: Prime Factorization of 74805

Prime factors of 74805 are 3, 5, 4987. Prime factorization of 74805 in exponential form is:

74805 = 3¹ × 5¹ × 4987¹

Step-2: Prime Factorization of 74811

Prime factors of 74811 are 3, 11, 2267. Prime factorization of 74811 in exponential form is:

74811 = 3¹ × 11¹ × 2267¹

Step-3: Factors of 74805

List of positive integer factors of 74805 that divides 74805 without a remainder.

1, 3, 5, 15, 4987, 14961, 24935

Step-4: Factors of 74811

List of positive integer factors of 74811 that divides 74805 without a remainder.

1, 3, 11, 33, 2267, 6801, 24937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74805 and 74811. The biggest common factor number is the GCF number.
So the greatest common factor 74805 and 74811 is 3.

Also check out the Least Common Multiple of 74805 and 74811