What is the Greatest Common Factor of 74896 and 74913?

Greatest common factor (GCF) of 74896 and 74913 is 1.

GCF(74896,74913) = 1

We will now calculate the prime factors of 74896 and 74913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74896 and 74913.

How to find the GCF of 74896 and 74913?

We will first find the prime factorization of 74896 and 74913. After we will calculate the factors of 74896 and 74913 and find the biggest common factor number .

Step-1: Prime Factorization of 74896

Prime factors of 74896 are 2, 31, 151. Prime factorization of 74896 in exponential form is:

74896 = 2⁴ × 31¹ × 151¹

Step-2: Prime Factorization of 74913

Prime factors of 74913 are 3, 24971. Prime factorization of 74913 in exponential form is:

74913 = 3¹ × 24971¹

Step-3: Factors of 74896

List of positive integer factors of 74896 that divides 74896 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 151, 248, 302, 496, 604, 1208, 2416, 4681, 9362, 18724, 37448

Step-4: Factors of 74913

List of positive integer factors of 74913 that divides 74896 without a remainder.

1, 3, 24971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74896 and 74913. The biggest common factor number is the GCF number.
So the greatest common factor 74896 and 74913 is 1.

Also check out the Least Common Multiple of 74896 and 74913