What is the Greatest Common Factor of 74810 and 74825?

Greatest common factor (GCF) of 74810 and 74825 is 5.

GCF(74810,74825) = 5

We will now calculate the prime factors of 74810 and 74825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74810 and 74825.

How to find the GCF of 74810 and 74825?

We will first find the prime factorization of 74810 and 74825. After we will calculate the factors of 74810 and 74825 and find the biggest common factor number .

Step-1: Prime Factorization of 74810

Prime factors of 74810 are 2, 5, 7481. Prime factorization of 74810 in exponential form is:

74810 = 2¹ × 5¹ × 7481¹

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 74810

List of positive integer factors of 74810 that divides 74810 without a remainder.

1, 2, 5, 10, 7481, 14962, 37405

Step-4: Factors of 74825

List of positive integer factors of 74825 that divides 74810 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 74810 and 74825. The biggest common factor number is the GCF number.
So the greatest common factor 74810 and 74825 is 5.

Also check out the Least Common Multiple of 74810 and 74825