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What is the Greatest Common Factor of 463 and 479?

Greatest common factor (GCF) of 463 and 479 is 1.

GCF(463,479) = 1

We will now calculate the prime factors of 463 and 479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 463 and 479.

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How to find the GCF of 463 and 479?

We will first find the prime factorization of 463 and 479. After we will calculate the factors of 463 and 479 and find the biggest common factor number .

Step-1: Prime Factorization of 463

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Step-2: Prime Factorization of 479

Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:

479 = 4791

Step-3: Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1

Step-4: Factors of 479

List of positive integer factors of 479 that divides 463 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 463 and 479. The biggest common factor number is the GCF number.
So the greatest common factor 463 and 479 is 1.

Also check out the Least Common Multiple of 463 and 479