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What is the Greatest Common Factor of 52982 and 52993?

Greatest common factor (GCF) of 52982 and 52993 is 1.

GCF(52982,52993) = 1

We will now calculate the prime factors of 52982 and 52993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52982 and 52993.

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How to find the GCF of 52982 and 52993?

We will first find the prime factorization of 52982 and 52993. After we will calculate the factors of 52982 and 52993 and find the biggest common factor number .

Step-1: Prime Factorization of 52982

Prime factors of 52982 are 2, 59, 449. Prime factorization of 52982 in exponential form is:

52982 = 21 × 591 × 4491

Step-2: Prime Factorization of 52993

Prime factors of 52993 are 197, 269. Prime factorization of 52993 in exponential form is:

52993 = 1971 × 2691

Step-3: Factors of 52982

List of positive integer factors of 52982 that divides 52982 without a remainder.

1, 2, 59, 118, 449, 898, 26491

Step-4: Factors of 52993

List of positive integer factors of 52993 that divides 52982 without a remainder.

1, 197, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52982 and 52993. The biggest common factor number is the GCF number.
So the greatest common factor 52982 and 52993 is 1.

Also check out the Least Common Multiple of 52982 and 52993