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What is the Greatest Common Factor of 18059 and 18070?

Greatest common factor (GCF) of 18059 and 18070 is 1.

GCF(18059,18070) = 1

We will now calculate the prime factors of 18059 and 18070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18059 and 18070.

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How to find the GCF of 18059 and 18070?

We will first find the prime factorization of 18059 and 18070. After we will calculate the factors of 18059 and 18070 and find the biggest common factor number .

Step-1: Prime Factorization of 18059

Prime factors of 18059 are 18059. Prime factorization of 18059 in exponential form is:

18059 = 180591

Step-2: Prime Factorization of 18070

Prime factors of 18070 are 2, 5, 13, 139. Prime factorization of 18070 in exponential form is:

18070 = 21 × 51 × 131 × 1391

Step-3: Factors of 18059

List of positive integer factors of 18059 that divides 18059 without a remainder.

1

Step-4: Factors of 18070

List of positive integer factors of 18070 that divides 18059 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 139, 278, 695, 1390, 1807, 3614, 9035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18059 and 18070. The biggest common factor number is the GCF number.
So the greatest common factor 18059 and 18070 is 1.

Also check out the Least Common Multiple of 18059 and 18070