What is the Greatest Common Factor of 74404 and 74420?

Greatest common factor (GCF) of 74404 and 74420 is 4.

GCF(74404,74420) = 4

We will now calculate the prime factors of 74404 and 74420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74404 and 74420.

How to find the GCF of 74404 and 74420?

We will first find the prime factorization of 74404 and 74420. After we will calculate the factors of 74404 and 74420 and find the biggest common factor number .

Step-1: Prime Factorization of 74404

Prime factors of 74404 are 2, 11, 19, 89. Prime factorization of 74404 in exponential form is:

74404 = 2² × 11¹ × 19¹ × 89¹

Step-2: Prime Factorization of 74420

Prime factors of 74420 are 2, 5, 61. Prime factorization of 74420 in exponential form is:

74420 = 2² × 5¹ × 61²

Step-3: Factors of 74404

List of positive integer factors of 74404 that divides 74404 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 89, 178, 209, 356, 418, 836, 979, 1691, 1958, 3382, 3916, 6764, 18601, 37202

Step-4: Factors of 74420

List of positive integer factors of 74420 that divides 74404 without a remainder.

1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220, 3721, 7442, 14884, 18605, 37210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74404 and 74420. The biggest common factor number is the GCF number.
So the greatest common factor 74404 and 74420 is 4.

Also check out the Least Common Multiple of 74404 and 74420