What is the Greatest Common Factor of 74420 and 74435?

Greatest common factor (GCF) of 74420 and 74435 is 5.

GCF(74420,74435) = 5

We will now calculate the prime factors of 74420 and 74435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74420 and 74435.

How to find the GCF of 74420 and 74435?

We will first find the prime factorization of 74420 and 74435. After we will calculate the factors of 74420 and 74435 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 74435

Prime factors of 74435 are 5, 14887. Prime factorization of 74435 in exponential form is:

74435 = 5¹ × 14887¹

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 74435

List of positive integer factors of 74435 that divides 74420 without a remainder.

1, 5, 14887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74420 and 74435. The biggest common factor number is the GCF number.
So the greatest common factor 74420 and 74435 is 5.

Also check out the Least Common Multiple of 74420 and 74435