What is the Greatest Common Factor of 74420 and 74429?

Greatest common factor (GCF) of 74420 and 74429 is 1.

GCF(74420,74429) = 1

We will now calculate the prime factors of 74420 and 74429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74420 and 74429.

How to find the GCF of 74420 and 74429?

We will first find the prime factorization of 74420 and 74429. After we will calculate the factors of 74420 and 74429 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74429

Prime factors of 74429 are 263, 283. Prime factorization of 74429 in exponential form is:

74429 = 263¹ × 283¹

Step-3: Factors of 74420

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

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

Step-4: Factors of 74429

List of positive integer factors of 74429 that divides 74420 without a remainder.

1, 263, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74420 and 74429. The biggest common factor number is the GCF number.
So the greatest common factor 74420 and 74429 is 1.

Also check out the Least Common Multiple of 74420 and 74429