What is the Greatest Common Factor of 74912 and 74930?

Greatest common factor (GCF) of 74912 and 74930 is 2.

GCF(74912,74930) = 2

We will now calculate the prime factors of 74912 and 74930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74912 and 74930.

How to find the GCF of 74912 and 74930?

We will first find the prime factorization of 74912 and 74930. After we will calculate the factors of 74912 and 74930 and find the biggest common factor number .

Step-1: Prime Factorization of 74912

Prime factors of 74912 are 2, 2341. Prime factorization of 74912 in exponential form is:

74912 = 2⁵ × 2341¹

Step-2: Prime Factorization of 74930

Prime factors of 74930 are 2, 5, 59, 127. Prime factorization of 74930 in exponential form is:

74930 = 2¹ × 5¹ × 59¹ × 127¹

Step-3: Factors of 74912

List of positive integer factors of 74912 that divides 74912 without a remainder.

1, 2, 4, 8, 16, 32, 2341, 4682, 9364, 18728, 37456

Step-4: Factors of 74930

List of positive integer factors of 74930 that divides 74912 without a remainder.

1, 2, 5, 10, 59, 118, 127, 254, 295, 590, 635, 1270, 7493, 14986, 37465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74912 and 74930. The biggest common factor number is the GCF number.
So the greatest common factor 74912 and 74930 is 2.

Also check out the Least Common Multiple of 74912 and 74930