What is the Greatest Common Factor of 90096 and 90103?

Greatest common factor (GCF) of 90096 and 90103 is 1.

GCF(90096,90103) = 1

We will now calculate the prime factors of 90096 and 90103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90096 and 90103.

How to find the GCF of 90096 and 90103?

We will first find the prime factorization of 90096 and 90103. After we will calculate the factors of 90096 and 90103 and find the biggest common factor number .

Step-1: Prime Factorization of 90096

Prime factors of 90096 are 2, 3, 1877. Prime factorization of 90096 in exponential form is:

90096 = 2⁴ × 3¹ × 1877¹

Step-2: Prime Factorization of 90103

Prime factors of 90103 are 13, 29, 239. Prime factorization of 90103 in exponential form is:

90103 = 13¹ × 29¹ × 239¹

Step-3: Factors of 90096

List of positive integer factors of 90096 that divides 90096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1877, 3754, 5631, 7508, 11262, 15016, 22524, 30032, 45048

Step-4: Factors of 90103

List of positive integer factors of 90103 that divides 90096 without a remainder.

1, 13, 29, 239, 377, 3107, 6931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90096 and 90103. The biggest common factor number is the GCF number.
So the greatest common factor 90096 and 90103 is 1.

Also check out the Least Common Multiple of 90096 and 90103