What is the Greatest Common Factor of 74828 and 74841?

Greatest common factor (GCF) of 74828 and 74841 is 13.

GCF(74828,74841) = 13

We will now calculate the prime factors of 74828 and 74841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74828 and 74841.

How to find the GCF of 74828 and 74841?

We will first find the prime factorization of 74828 and 74841. After we will calculate the factors of 74828 and 74841 and find the biggest common factor number .

Step-1: Prime Factorization of 74828

Prime factors of 74828 are 2, 13, 1439. Prime factorization of 74828 in exponential form is:

74828 = 2² × 13¹ × 1439¹

Step-2: Prime Factorization of 74841

Prime factors of 74841 are 3, 13, 19, 101. Prime factorization of 74841 in exponential form is:

74841 = 3¹ × 13¹ × 19¹ × 101¹

Step-3: Factors of 74828

List of positive integer factors of 74828 that divides 74828 without a remainder.

1, 2, 4, 13, 26, 52, 1439, 2878, 5756, 18707, 37414

Step-4: Factors of 74841

List of positive integer factors of 74841 that divides 74828 without a remainder.

1, 3, 13, 19, 39, 57, 101, 247, 303, 741, 1313, 1919, 3939, 5757, 24947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74828 and 74841. The biggest common factor number is the GCF number.
So the greatest common factor 74828 and 74841 is 13.

Also check out the Least Common Multiple of 74828 and 74841