What is the Greatest Common Factor of 74285 and 74293?

Greatest common factor (GCF) of 74285 and 74293 is 1.

GCF(74285,74293) = 1

We will now calculate the prime factors of 74285 and 74293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74285 and 74293.

How to find the GCF of 74285 and 74293?

We will first find the prime factorization of 74285 and 74293. After we will calculate the factors of 74285 and 74293 and find the biggest common factor number .

Step-1: Prime Factorization of 74285

Prime factors of 74285 are 5, 83, 179. Prime factorization of 74285 in exponential form is:

74285 = 5¹ × 83¹ × 179¹

Step-2: Prime Factorization of 74293

Prime factors of 74293 are 74293. Prime factorization of 74293 in exponential form is:

74293 = 74293¹

Step-3: Factors of 74285

List of positive integer factors of 74285 that divides 74285 without a remainder.

1, 5, 83, 179, 415, 895, 14857

Step-4: Factors of 74293

List of positive integer factors of 74293 that divides 74285 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74285 and 74293. The biggest common factor number is the GCF number.
So the greatest common factor 74285 and 74293 is 1.

Also check out the Least Common Multiple of 74285 and 74293