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What is the Greatest Common Factor of 50475 and 50494?

Greatest common factor (GCF) of 50475 and 50494 is 1.

GCF(50475,50494) = 1

We will now calculate the prime factors of 50475 and 50494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50475 and 50494.

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How to find the GCF of 50475 and 50494?

We will first find the prime factorization of 50475 and 50494. After we will calculate the factors of 50475 and 50494 and find the biggest common factor number .

Step-1: Prime Factorization of 50475

Prime factors of 50475 are 3, 5, 673. Prime factorization of 50475 in exponential form is:

50475 = 31 × 52 × 6731

Step-2: Prime Factorization of 50494

Prime factors of 50494 are 2, 25247. Prime factorization of 50494 in exponential form is:

50494 = 21 × 252471

Step-3: Factors of 50475

List of positive integer factors of 50475 that divides 50475 without a remainder.

1, 3, 5, 15, 25, 75, 673, 2019, 3365, 10095, 16825

Step-4: Factors of 50494

List of positive integer factors of 50494 that divides 50475 without a remainder.

1, 2, 25247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50475 and 50494. The biggest common factor number is the GCF number.
So the greatest common factor 50475 and 50494 is 1.

Also check out the Least Common Multiple of 50475 and 50494