What is the Greatest Common Factor of 90349 and 90361?

Greatest common factor (GCF) of 90349 and 90361 is 1.

GCF(90349,90361) = 1

We will now calculate the prime factors of 90349 and 90361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90349 and 90361.

How to find the GCF of 90349 and 90361?

We will first find the prime factorization of 90349 and 90361. After we will calculate the factors of 90349 and 90361 and find the biggest common factor number .

Step-1: Prime Factorization of 90349

Prime factors of 90349 are 7, 12907. Prime factorization of 90349 in exponential form is:

90349 = 7¹ × 12907¹

Step-2: Prime Factorization of 90361

Prime factors of 90361 are 109, 829. Prime factorization of 90361 in exponential form is:

90361 = 109¹ × 829¹

Step-3: Factors of 90349

List of positive integer factors of 90349 that divides 90349 without a remainder.

1, 7, 12907

Step-4: Factors of 90361

List of positive integer factors of 90361 that divides 90349 without a remainder.

1, 109, 829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90349 and 90361. The biggest common factor number is the GCF number.
So the greatest common factor 90349 and 90361 is 1.

Also check out the Least Common Multiple of 90349 and 90361