What is the Greatest Common Factor of 90 and 103?

Greatest common factor (GCF) of 90 and 103 is 1.

GCF(90,103) = 1

We will now calculate the prime factors of 90 and 103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90 and 103.

How to find the GCF of 90 and 103?

We will first find the prime factorization of 90 and 103. After we will calculate the factors of 90 and 103 and find the biggest common factor number .

Step-1: Prime Factorization of 90

Prime factors of 90 are 2, 3, 5. Prime factorization of 90 in exponential form is:

90 = 2¹ × 3² × 5¹

Step-2: Prime Factorization of 103

Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:

103 = 103¹

Step-3: Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45

Step-4: Factors of 103

List of positive integer factors of 103 that divides 90 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90 and 103. The biggest common factor number is the GCF number.
So the greatest common factor 90 and 103 is 1.

Also check out the Least Common Multiple of 90 and 103