What is the Greatest Common Factor of 74863 and 74874?

Greatest common factor (GCF) of 74863 and 74874 is 1.

GCF(74863,74874) = 1

We will now calculate the prime factors of 74863 and 74874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74863 and 74874.

How to find the GCF of 74863 and 74874?

We will first find the prime factorization of 74863 and 74874. After we will calculate the factors of 74863 and 74874 and find the biggest common factor number .

Step-1: Prime Factorization of 74863

Prime factors of 74863 are 43, 1741. Prime factorization of 74863 in exponential form is:

74863 = 43¹ × 1741¹

Step-2: Prime Factorization of 74874

Prime factors of 74874 are 2, 3, 12479. Prime factorization of 74874 in exponential form is:

74874 = 2¹ × 3¹ × 12479¹

Step-3: Factors of 74863

List of positive integer factors of 74863 that divides 74863 without a remainder.

1, 43, 1741

Step-4: Factors of 74874

List of positive integer factors of 74874 that divides 74863 without a remainder.

1, 2, 3, 6, 12479, 24958, 37437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74863 and 74874. The biggest common factor number is the GCF number.
So the greatest common factor 74863 and 74874 is 1.

Also check out the Least Common Multiple of 74863 and 74874