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What is the Greatest Common Factor of 72047 and 72059?

Greatest common factor (GCF) of 72047 and 72059 is 1.

GCF(72047,72059) = 1

We will now calculate the prime factors of 72047 and 72059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72047 and 72059.

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How to find the GCF of 72047 and 72059?

We will first find the prime factorization of 72047 and 72059. After we will calculate the factors of 72047 and 72059 and find the biggest common factor number .

Step-1: Prime Factorization of 72047

Prime factors of 72047 are 72047. Prime factorization of 72047 in exponential form is:

72047 = 720471

Step-2: Prime Factorization of 72059

Prime factors of 72059 are 13, 23, 241. Prime factorization of 72059 in exponential form is:

72059 = 131 × 231 × 2411

Step-3: Factors of 72047

List of positive integer factors of 72047 that divides 72047 without a remainder.

1

Step-4: Factors of 72059

List of positive integer factors of 72059 that divides 72047 without a remainder.

1, 13, 23, 241, 299, 3133, 5543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72047 and 72059. The biggest common factor number is the GCF number.
So the greatest common factor 72047 and 72059 is 1.

Also check out the Least Common Multiple of 72047 and 72059