What is the Greatest Common Factor of 74851 and 74871?

Greatest common factor (GCF) of 74851 and 74871 is 1.

GCF(74851,74871) = 1

We will now calculate the prime factors of 74851 and 74871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74851 and 74871.

How to find the GCF of 74851 and 74871?

We will first find the prime factorization of 74851 and 74871. After we will calculate the factors of 74851 and 74871 and find the biggest common factor number .

Step-1: Prime Factorization of 74851

Prime factors of 74851 are 7, 17, 37. Prime factorization of 74851 in exponential form is:

74851 = 7¹ × 17² × 37¹

Step-2: Prime Factorization of 74871

Prime factors of 74871 are 3, 47, 59. Prime factorization of 74871 in exponential form is:

74871 = 3³ × 47¹ × 59¹

Step-3: Factors of 74851

List of positive integer factors of 74851 that divides 74851 without a remainder.

1, 7, 17, 37, 119, 259, 289, 629, 2023, 4403, 10693

Step-4: Factors of 74871

List of positive integer factors of 74871 that divides 74851 without a remainder.

1, 3, 9, 27, 47, 59, 141, 177, 423, 531, 1269, 1593, 2773, 8319, 24957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74851 and 74871. The biggest common factor number is the GCF number.
So the greatest common factor 74851 and 74871 is 1.

Also check out the Least Common Multiple of 74851 and 74871