What is the Greatest Common Factor of 74825 and 74838?

Greatest common factor (GCF) of 74825 and 74838 is 1.

GCF(74825,74838) = 1

We will now calculate the prime factors of 74825 and 74838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74825 and 74838.

How to find the GCF of 74825 and 74838?

We will first find the prime factorization of 74825 and 74838. After we will calculate the factors of 74825 and 74838 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 74838

Prime factors of 74838 are 2, 3, 12473. Prime factorization of 74838 in exponential form is:

74838 = 2¹ × 3¹ × 12473¹

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 74838

List of positive integer factors of 74838 that divides 74825 without a remainder.

1, 2, 3, 6, 12473, 24946, 37419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74825 and 74838. The biggest common factor number is the GCF number.
So the greatest common factor 74825 and 74838 is 1.

Also check out the Least Common Multiple of 74825 and 74838