What is the Greatest Common Factor of 74203 and 74208?

Greatest common factor (GCF) of 74203 and 74208 is 1.

GCF(74203,74208) = 1

We will now calculate the prime factors of 74203 and 74208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74203 and 74208.

How to find the GCF of 74203 and 74208?

We will first find the prime factorization of 74203 and 74208. After we will calculate the factors of 74203 and 74208 and find the biggest common factor number .

Step-1: Prime Factorization of 74203

Prime factors of 74203 are 74203. Prime factorization of 74203 in exponential form is:

74203 = 74203¹

Step-2: Prime Factorization of 74208

Prime factors of 74208 are 2, 3, 773. Prime factorization of 74208 in exponential form is:

74208 = 2⁵ × 3¹ × 773¹

Step-3: Factors of 74203

List of positive integer factors of 74203 that divides 74203 without a remainder.

Step-4: Factors of 74208

List of positive integer factors of 74208 that divides 74203 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 773, 1546, 2319, 3092, 4638, 6184, 9276, 12368, 18552, 24736, 37104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74203 and 74208. The biggest common factor number is the GCF number.
So the greatest common factor 74203 and 74208 is 1.

Also check out the Least Common Multiple of 74203 and 74208