What is the Greatest Common Factor of 74235 and 74248?

Greatest common factor (GCF) of 74235 and 74248 is 1.

GCF(74235,74248) = 1

We will now calculate the prime factors of 74235 and 74248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74235 and 74248.

How to find the GCF of 74235 and 74248?

We will first find the prime factorization of 74235 and 74248. After we will calculate the factors of 74235 and 74248 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 74248

Prime factors of 74248 are 2, 9281. Prime factorization of 74248 in exponential form is:

74248 = 2³ × 9281¹

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 74248

List of positive integer factors of 74248 that divides 74235 without a remainder.

1, 2, 4, 8, 9281, 18562, 37124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74235 and 74248. The biggest common factor number is the GCF number.
So the greatest common factor 74235 and 74248 is 1.

Also check out the Least Common Multiple of 74235 and 74248