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What is the Greatest Common Factor of 29983 and 29989?

Greatest common factor (GCF) of 29983 and 29989 is 1.

GCF(29983,29989) = 1

We will now calculate the prime factors of 29983 and 29989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29983 and 29989.

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How to find the GCF of 29983 and 29989?

We will first find the prime factorization of 29983 and 29989. After we will calculate the factors of 29983 and 29989 and find the biggest common factor number .

Step-1: Prime Factorization of 29983

Prime factors of 29983 are 29983. Prime factorization of 29983 in exponential form is:

29983 = 299831

Step-2: Prime Factorization of 29989

Prime factors of 29989 are 29989. Prime factorization of 29989 in exponential form is:

29989 = 299891

Step-3: Factors of 29983

List of positive integer factors of 29983 that divides 29983 without a remainder.

1

Step-4: Factors of 29989

List of positive integer factors of 29989 that divides 29983 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29983 and 29989. The biggest common factor number is the GCF number.
So the greatest common factor 29983 and 29989 is 1.

Also check out the Least Common Multiple of 29983 and 29989