What is the Greatest Common Factor of 75209 and 75216?

Greatest common factor (GCF) of 75209 and 75216 is 1.

GCF(75209,75216) = 1

We will now calculate the prime factors of 75209 and 75216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75209 and 75216.

How to find the GCF of 75209 and 75216?

We will first find the prime factorization of 75209 and 75216. After we will calculate the factors of 75209 and 75216 and find the biggest common factor number .

Step-1: Prime Factorization of 75209

Prime factors of 75209 are 75209. Prime factorization of 75209 in exponential form is:

75209 = 75209¹

Step-2: Prime Factorization of 75216

Prime factors of 75216 are 2, 3, 1567. Prime factorization of 75216 in exponential form is:

75216 = 2⁴ × 3¹ × 1567¹

Step-3: Factors of 75209

List of positive integer factors of 75209 that divides 75209 without a remainder.

Step-4: Factors of 75216

List of positive integer factors of 75216 that divides 75209 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1567, 3134, 4701, 6268, 9402, 12536, 18804, 25072, 37608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75209 and 75216. The biggest common factor number is the GCF number.
So the greatest common factor 75209 and 75216 is 1.

Also check out the Least Common Multiple of 75209 and 75216