What is the Greatest Common Factor of 49209 and 49216?

Greatest common factor (GCF) of 49209 and 49216 is 1.

GCF(49209,49216) = 1

We will now calculate the prime factors of 49209 and 49216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49209 and 49216.

How to find the GCF of 49209 and 49216?

We will first find the prime factorization of 49209 and 49216. After we will calculate the factors of 49209 and 49216 and find the biggest common factor number .

Step-1: Prime Factorization of 49209

Prime factors of 49209 are 3, 47, 349. Prime factorization of 49209 in exponential form is:

49209 = 3¹ × 47¹ × 349¹

Step-2: Prime Factorization of 49216

Prime factors of 49216 are 2, 769. Prime factorization of 49216 in exponential form is:

49216 = 2⁶ × 769¹

Step-3: Factors of 49209

List of positive integer factors of 49209 that divides 49209 without a remainder.

1, 3, 47, 141, 349, 1047, 16403

Step-4: Factors of 49216

List of positive integer factors of 49216 that divides 49209 without a remainder.

1, 2, 4, 8, 16, 32, 64, 769, 1538, 3076, 6152, 12304, 24608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49209 and 49216. The biggest common factor number is the GCF number.
So the greatest common factor 49209 and 49216 is 1.

Also check out the Least Common Multiple of 49209 and 49216