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What is the Greatest Common Factor of 24733 and 24742?

Greatest common factor (GCF) of 24733 and 24742 is 1.

GCF(24733,24742) = 1

We will now calculate the prime factors of 24733 and 24742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24733 and 24742.

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How to find the GCF of 24733 and 24742?

We will first find the prime factorization of 24733 and 24742. After we will calculate the factors of 24733 and 24742 and find the biggest common factor number .

Step-1: Prime Factorization of 24733

Prime factors of 24733 are 24733. Prime factorization of 24733 in exponential form is:

24733 = 247331

Step-2: Prime Factorization of 24742

Prime factors of 24742 are 2, 89, 139. Prime factorization of 24742 in exponential form is:

24742 = 21 × 891 × 1391

Step-3: Factors of 24733

List of positive integer factors of 24733 that divides 24733 without a remainder.

1

Step-4: Factors of 24742

List of positive integer factors of 24742 that divides 24733 without a remainder.

1, 2, 89, 139, 178, 278, 12371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24733 and 24742. The biggest common factor number is the GCF number.
So the greatest common factor 24733 and 24742 is 1.

Also check out the Least Common Multiple of 24733 and 24742