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What is the Greatest Common Factor of 42003 and 42023?

Greatest common factor (GCF) of 42003 and 42023 is 1.

GCF(42003,42023) = 1

We will now calculate the prime factors of 42003 and 42023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42003 and 42023.

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How to find the GCF of 42003 and 42023?

We will first find the prime factorization of 42003 and 42023. After we will calculate the factors of 42003 and 42023 and find the biggest common factor number .

Step-1: Prime Factorization of 42003

Prime factors of 42003 are 3, 13, 359. Prime factorization of 42003 in exponential form is:

42003 = 32 × 131 × 3591

Step-2: Prime Factorization of 42023

Prime factors of 42023 are 42023. Prime factorization of 42023 in exponential form is:

42023 = 420231

Step-3: Factors of 42003

List of positive integer factors of 42003 that divides 42003 without a remainder.

1, 3, 9, 13, 39, 117, 359, 1077, 3231, 4667, 14001

Step-4: Factors of 42023

List of positive integer factors of 42023 that divides 42003 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42003 and 42023. The biggest common factor number is the GCF number.
So the greatest common factor 42003 and 42023 is 1.

Also check out the Least Common Multiple of 42003 and 42023