What is the Greatest Common Factor of 74825 and 74830?

Greatest common factor (GCF) of 74825 and 74830 is 5.

GCF(74825,74830) = 5

We will now calculate the prime factors of 74825 and 74830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74825 and 74830.

How to find the GCF of 74825 and 74830?

We will first find the prime factorization of 74825 and 74830. After we will calculate the factors of 74825 and 74830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74830

Prime factors of 74830 are 2, 5, 7, 1069. Prime factorization of 74830 in exponential form is:

74830 = 2¹ × 5¹ × 7¹ × 1069¹

Step-3: Factors of 74825

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

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

Step-4: Factors of 74830

List of positive integer factors of 74830 that divides 74825 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1069, 2138, 5345, 7483, 10690, 14966, 37415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74825 and 74830. The biggest common factor number is the GCF number.
So the greatest common factor 74825 and 74830 is 5.

Also check out the Least Common Multiple of 74825 and 74830