What is the Greatest Common Factor of 74805 and 74825?

Greatest common factor (GCF) of 74805 and 74825 is 5.

GCF(74805,74825) = 5

We will now calculate the prime factors of 74805 and 74825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74805 and 74825.

How to find the GCF of 74805 and 74825?

We will first find the prime factorization of 74805 and 74825. After we will calculate the factors of 74805 and 74825 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 74825

Prime factors of 74825 are 5, 41, 73. Prime factorization of 74825 in exponential form is:

74825 = 5² × 41¹ × 73¹

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 74825

List of positive integer factors of 74825 that divides 74805 without a remainder.

1, 5, 25, 41, 73, 205, 365, 1025, 1825, 2993, 14965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74805 and 74825. The biggest common factor number is the GCF number.
So the greatest common factor 74805 and 74825 is 5.

Also check out the Least Common Multiple of 74805 and 74825