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What is the Greatest Common Factor of 15083 and 15090?

Greatest common factor (GCF) of 15083 and 15090 is 1.

GCF(15083,15090) = 1

We will now calculate the prime factors of 15083 and 15090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15083 and 15090.

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How to find the GCF of 15083 and 15090?

We will first find the prime factorization of 15083 and 15090. After we will calculate the factors of 15083 and 15090 and find the biggest common factor number .

Step-1: Prime Factorization of 15083

Prime factors of 15083 are 15083. Prime factorization of 15083 in exponential form is:

15083 = 150831

Step-2: Prime Factorization of 15090

Prime factors of 15090 are 2, 3, 5, 503. Prime factorization of 15090 in exponential form is:

15090 = 21 × 31 × 51 × 5031

Step-3: Factors of 15083

List of positive integer factors of 15083 that divides 15083 without a remainder.

1

Step-4: Factors of 15090

List of positive integer factors of 15090 that divides 15083 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 503, 1006, 1509, 2515, 3018, 5030, 7545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15083 and 15090. The biggest common factor number is the GCF number.
So the greatest common factor 15083 and 15090 is 1.

Also check out the Least Common Multiple of 15083 and 15090