What is the Greatest Common Factor of 74235 and 74239?

Greatest common factor (GCF) of 74235 and 74239 is 1.

GCF(74235,74239) = 1

We will now calculate the prime factors of 74235 and 74239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74235 and 74239.

How to find the GCF of 74235 and 74239?

We will first find the prime factorization of 74235 and 74239. After we will calculate the factors of 74235 and 74239 and find the biggest common factor number .

Step-1: Prime Factorization of 74235

Prime factors of 74235 are 3, 5, 7, 101. Prime factorization of 74235 in exponential form is:

74235 = 3¹ × 5¹ × 7² × 101¹

Step-2: Prime Factorization of 74239

Prime factors of 74239 are 11, 17, 397. Prime factorization of 74239 in exponential form is:

74239 = 11¹ × 17¹ × 397¹

Step-3: Factors of 74235

List of positive integer factors of 74235 that divides 74235 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 101, 105, 147, 245, 303, 505, 707, 735, 1515, 2121, 3535, 4949, 10605, 14847, 24745

Step-4: Factors of 74239

List of positive integer factors of 74239 that divides 74235 without a remainder.

1, 11, 17, 187, 397, 4367, 6749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74235 and 74239. The biggest common factor number is the GCF number.
So the greatest common factor 74235 and 74239 is 1.

Also check out the Least Common Multiple of 74235 and 74239