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What is the Greatest Common Factor of 63453 and 63471?

Greatest common factor (GCF) of 63453 and 63471 is 3.

GCF(63453,63471) = 3

We will now calculate the prime factors of 63453 and 63471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63453 and 63471.

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How to find the GCF of 63453 and 63471?

We will first find the prime factorization of 63453 and 63471. After we will calculate the factors of 63453 and 63471 and find the biggest common factor number .

Step-1: Prime Factorization of 63453

Prime factors of 63453 are 3, 13, 1627. Prime factorization of 63453 in exponential form is:

63453 = 31 × 131 × 16271

Step-2: Prime Factorization of 63471

Prime factors of 63471 are 3, 21157. Prime factorization of 63471 in exponential form is:

63471 = 31 × 211571

Step-3: Factors of 63453

List of positive integer factors of 63453 that divides 63453 without a remainder.

1, 3, 13, 39, 1627, 4881, 21151

Step-4: Factors of 63471

List of positive integer factors of 63471 that divides 63453 without a remainder.

1, 3, 21157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63453 and 63471. The biggest common factor number is the GCF number.
So the greatest common factor 63453 and 63471 is 3.

Also check out the Least Common Multiple of 63453 and 63471