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What is the Greatest Common Factor of 83933 and 83950?

Greatest common factor (GCF) of 83933 and 83950 is 1.

GCF(83933,83950) = 1

We will now calculate the prime factors of 83933 and 83950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83933 and 83950.

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How to find the GCF of 83933 and 83950?

We will first find the prime factorization of 83933 and 83950. After we will calculate the factors of 83933 and 83950 and find the biggest common factor number .

Step-1: Prime Factorization of 83933

Prime factors of 83933 are 83933. Prime factorization of 83933 in exponential form is:

83933 = 839331

Step-2: Prime Factorization of 83950

Prime factors of 83950 are 2, 5, 23, 73. Prime factorization of 83950 in exponential form is:

83950 = 21 × 52 × 231 × 731

Step-3: Factors of 83933

List of positive integer factors of 83933 that divides 83933 without a remainder.

1

Step-4: Factors of 83950

List of positive integer factors of 83950 that divides 83933 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 73, 115, 146, 230, 365, 575, 730, 1150, 1679, 1825, 3358, 3650, 8395, 16790, 41975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83933 and 83950. The biggest common factor number is the GCF number.
So the greatest common factor 83933 and 83950 is 1.

Also check out the Least Common Multiple of 83933 and 83950