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What is the Greatest Common Factor of 47748 and 47759?

Greatest common factor (GCF) of 47748 and 47759 is 1.

GCF(47748,47759) = 1

We will now calculate the prime factors of 47748 and 47759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47748 and 47759.

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How to find the GCF of 47748 and 47759?

We will first find the prime factorization of 47748 and 47759. After we will calculate the factors of 47748 and 47759 and find the biggest common factor number .

Step-1: Prime Factorization of 47748

Prime factors of 47748 are 2, 3, 23, 173. Prime factorization of 47748 in exponential form is:

47748 = 22 × 31 × 231 × 1731

Step-2: Prime Factorization of 47759

Prime factors of 47759 are 163, 293. Prime factorization of 47759 in exponential form is:

47759 = 1631 × 2931

Step-3: Factors of 47748

List of positive integer factors of 47748 that divides 47748 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 173, 276, 346, 519, 692, 1038, 2076, 3979, 7958, 11937, 15916, 23874

Step-4: Factors of 47759

List of positive integer factors of 47759 that divides 47748 without a remainder.

1, 163, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47748 and 47759. The biggest common factor number is the GCF number.
So the greatest common factor 47748 and 47759 is 1.

Also check out the Least Common Multiple of 47748 and 47759