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What is the Greatest Common Factor of 94029 and 94042?

Greatest common factor (GCF) of 94029 and 94042 is 13.

GCF(94029,94042) = 13

We will now calculate the prime factors of 94029 and 94042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94029 and 94042.

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How to find the GCF of 94029 and 94042?

We will first find the prime factorization of 94029 and 94042. After we will calculate the factors of 94029 and 94042 and find the biggest common factor number .

Step-1: Prime Factorization of 94029

Prime factors of 94029 are 3, 13, 2411. Prime factorization of 94029 in exponential form is:

94029 = 31 × 131 × 24111

Step-2: Prime Factorization of 94042

Prime factors of 94042 are 2, 13, 3617. Prime factorization of 94042 in exponential form is:

94042 = 21 × 131 × 36171

Step-3: Factors of 94029

List of positive integer factors of 94029 that divides 94029 without a remainder.

1, 3, 13, 39, 2411, 7233, 31343

Step-4: Factors of 94042

List of positive integer factors of 94042 that divides 94029 without a remainder.

1, 2, 13, 26, 3617, 7234, 47021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94029 and 94042. The biggest common factor number is the GCF number.
So the greatest common factor 94029 and 94042 is 13.

Also check out the Least Common Multiple of 94029 and 94042