What is the Greatest Common Factor of 49209 and 49225?

Greatest common factor (GCF) of 49209 and 49225 is 1.

GCF(49209,49225) = 1

We will now calculate the prime factors of 49209 and 49225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49209 and 49225.

How to find the GCF of 49209 and 49225?

We will first find the prime factorization of 49209 and 49225. After we will calculate the factors of 49209 and 49225 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 49225

Prime factors of 49225 are 5, 11, 179. Prime factorization of 49225 in exponential form is:

49225 = 5² × 11¹ × 179¹

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 49225

List of positive integer factors of 49225 that divides 49209 without a remainder.

1, 5, 11, 25, 55, 179, 275, 895, 1969, 4475, 9845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49209 and 49225. The biggest common factor number is the GCF number.
So the greatest common factor 49209 and 49225 is 1.

Also check out the Least Common Multiple of 49209 and 49225