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What is the Greatest Common Factor of 36983 and 36997?

Greatest common factor (GCF) of 36983 and 36997 is 1.

GCF(36983,36997) = 1

We will now calculate the prime factors of 36983 and 36997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36983 and 36997.

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How to find the GCF of 36983 and 36997?

We will first find the prime factorization of 36983 and 36997. After we will calculate the factors of 36983 and 36997 and find the biggest common factor number .

Step-1: Prime Factorization of 36983

Prime factors of 36983 are 31, 1193. Prime factorization of 36983 in exponential form is:

36983 = 311 × 11931

Step-2: Prime Factorization of 36997

Prime factors of 36997 are 36997. Prime factorization of 36997 in exponential form is:

36997 = 369971

Step-3: Factors of 36983

List of positive integer factors of 36983 that divides 36983 without a remainder.

1, 31, 1193

Step-4: Factors of 36997

List of positive integer factors of 36997 that divides 36983 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36983 and 36997. The biggest common factor number is the GCF number.
So the greatest common factor 36983 and 36997 is 1.

Also check out the Least Common Multiple of 36983 and 36997