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What is the Greatest Common Factor of 39069 and 39074?

Greatest common factor (GCF) of 39069 and 39074 is 1.

GCF(39069,39074) = 1

We will now calculate the prime factors of 39069 and 39074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39069 and 39074.

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How to find the GCF of 39069 and 39074?

We will first find the prime factorization of 39069 and 39074. After we will calculate the factors of 39069 and 39074 and find the biggest common factor number .

Step-1: Prime Factorization of 39069

Prime factors of 39069 are 3, 1447. Prime factorization of 39069 in exponential form is:

39069 = 33 × 14471

Step-2: Prime Factorization of 39074

Prime factors of 39074 are 2, 7, 2791. Prime factorization of 39074 in exponential form is:

39074 = 21 × 71 × 27911

Step-3: Factors of 39069

List of positive integer factors of 39069 that divides 39069 without a remainder.

1, 3, 9, 27, 1447, 4341, 13023

Step-4: Factors of 39074

List of positive integer factors of 39074 that divides 39069 without a remainder.

1, 2, 7, 14, 2791, 5582, 19537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39069 and 39074. The biggest common factor number is the GCF number.
So the greatest common factor 39069 and 39074 is 1.

Also check out the Least Common Multiple of 39069 and 39074