What is the Greatest Common Factor of 90387 and 90391?

Greatest common factor (GCF) of 90387 and 90391 is 1.

GCF(90387,90391) = 1

We will now calculate the prime factors of 90387 and 90391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90387 and 90391.

How to find the GCF of 90387 and 90391?

We will first find the prime factorization of 90387 and 90391. After we will calculate the factors of 90387 and 90391 and find the biggest common factor number .

Step-1: Prime Factorization of 90387

Prime factors of 90387 are 3, 11, 83. Prime factorization of 90387 in exponential form is:

90387 = 3² × 11² × 83¹

Step-2: Prime Factorization of 90391

Prime factors of 90391 are 7, 37, 349. Prime factorization of 90391 in exponential form is:

90391 = 7¹ × 37¹ × 349¹

Step-3: Factors of 90387

List of positive integer factors of 90387 that divides 90387 without a remainder.

1, 3, 9, 11, 33, 83, 99, 121, 249, 363, 747, 913, 1089, 2739, 8217, 10043, 30129

Step-4: Factors of 90391

List of positive integer factors of 90391 that divides 90387 without a remainder.

1, 7, 37, 259, 349, 2443, 12913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90387 and 90391. The biggest common factor number is the GCF number.
So the greatest common factor 90387 and 90391 is 1.

Also check out the Least Common Multiple of 90387 and 90391