What is the Greatest Common Factor of 74822 and 74841?

Greatest common factor (GCF) of 74822 and 74841 is 19.

GCF(74822,74841) = 19

We will now calculate the prime factors of 74822 and 74841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74822 and 74841.

How to find the GCF of 74822 and 74841?

We will first find the prime factorization of 74822 and 74841. After we will calculate the factors of 74822 and 74841 and find the biggest common factor number .

Step-1: Prime Factorization of 74822

Prime factors of 74822 are 2, 11, 19, 179. Prime factorization of 74822 in exponential form is:

74822 = 2¹ × 11¹ × 19¹ × 179¹

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 74822

List of positive integer factors of 74822 that divides 74822 without a remainder.

1, 2, 11, 19, 22, 38, 179, 209, 358, 418, 1969, 3401, 3938, 6802, 37411

Step-4: Factors of 74841

List of positive integer factors of 74841 that divides 74822 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 74822 and 74841. The biggest common factor number is the GCF number.
So the greatest common factor 74822 and 74841 is 19.

Also check out the Least Common Multiple of 74822 and 74841