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What is the Greatest Common Factor of 15007 and 15013?

Greatest common factor (GCF) of 15007 and 15013 is 1.

GCF(15007,15013) = 1

We will now calculate the prime factors of 15007 and 15013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15007 and 15013.

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How to find the GCF of 15007 and 15013?

We will first find the prime factorization of 15007 and 15013. After we will calculate the factors of 15007 and 15013 and find the biggest common factor number .

Step-1: Prime Factorization of 15007

Prime factors of 15007 are 43, 349. Prime factorization of 15007 in exponential form is:

15007 = 431 × 3491

Step-2: Prime Factorization of 15013

Prime factors of 15013 are 15013. Prime factorization of 15013 in exponential form is:

15013 = 150131

Step-3: Factors of 15007

List of positive integer factors of 15007 that divides 15007 without a remainder.

1, 43, 349

Step-4: Factors of 15013

List of positive integer factors of 15013 that divides 15007 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15007 and 15013. The biggest common factor number is the GCF number.
So the greatest common factor 15007 and 15013 is 1.

Also check out the Least Common Multiple of 15007 and 15013