What is the Greatest Common Factor of 74889 and 74898?

Greatest common factor (GCF) of 74889 and 74898 is 9.

GCF(74889,74898) = 9

We will now calculate the prime factors of 74889 and 74898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74889 and 74898.

How to find the GCF of 74889 and 74898?

We will first find the prime factorization of 74889 and 74898. After we will calculate the factors of 74889 and 74898 and find the biggest common factor number .

Step-1: Prime Factorization of 74889

Prime factors of 74889 are 3, 53, 157. Prime factorization of 74889 in exponential form is:

74889 = 3² × 53¹ × 157¹

Step-2: Prime Factorization of 74898

Prime factors of 74898 are 2, 3, 19, 73. Prime factorization of 74898 in exponential form is:

74898 = 2¹ × 3³ × 19¹ × 73¹

Step-3: Factors of 74889

List of positive integer factors of 74889 that divides 74889 without a remainder.

1, 3, 9, 53, 157, 159, 471, 477, 1413, 8321, 24963

Step-4: Factors of 74898

List of positive integer factors of 74898 that divides 74889 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 73, 114, 146, 171, 219, 342, 438, 513, 657, 1026, 1314, 1387, 1971, 2774, 3942, 4161, 8322, 12483, 24966, 37449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74889 and 74898. The biggest common factor number is the GCF number.
So the greatest common factor 74889 and 74898 is 9.

Also check out the Least Common Multiple of 74889 and 74898