What is the Greatest Common Factor of 74910 and 74930?

Greatest common factor (GCF) of 74910 and 74930 is 10.

GCF(74910,74930) = 10

We will now calculate the prime factors of 74910 and 74930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74910 and 74930.

How to find the GCF of 74910 and 74930?

We will first find the prime factorization of 74910 and 74930. After we will calculate the factors of 74910 and 74930 and find the biggest common factor number .

Step-1: Prime Factorization of 74910

Prime factors of 74910 are 2, 3, 5, 11, 227. Prime factorization of 74910 in exponential form is:

74910 = 2¹ × 3¹ × 5¹ × 11¹ × 227¹

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 74910

List of positive integer factors of 74910 that divides 74910 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 227, 330, 454, 681, 1135, 1362, 2270, 2497, 3405, 4994, 6810, 7491, 12485, 14982, 24970, 37455

Step-4: Factors of 74930

List of positive integer factors of 74930 that divides 74910 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 74910 and 74930. The biggest common factor number is the GCF number.
So the greatest common factor 74910 and 74930 is 10.

Also check out the Least Common Multiple of 74910 and 74930