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What is the Greatest Common Factor of 58991 and 59009?

Greatest common factor (GCF) of 58991 and 59009 is 1.

GCF(58991,59009) = 1

We will now calculate the prime factors of 58991 and 59009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58991 and 59009.

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How to find the GCF of 58991 and 59009?

We will first find the prime factorization of 58991 and 59009. After we will calculate the factors of 58991 and 59009 and find the biggest common factor number .

Step-1: Prime Factorization of 58991

Prime factors of 58991 are 58991. Prime factorization of 58991 in exponential form is:

58991 = 589911

Step-2: Prime Factorization of 59009

Prime factors of 59009 are 59009. Prime factorization of 59009 in exponential form is:

59009 = 590091

Step-3: Factors of 58991

List of positive integer factors of 58991 that divides 58991 without a remainder.

1

Step-4: Factors of 59009

List of positive integer factors of 59009 that divides 58991 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58991 and 59009. The biggest common factor number is the GCF number.
So the greatest common factor 58991 and 59009 is 1.

Also check out the Least Common Multiple of 58991 and 59009