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What is the Greatest Common Factor of 27437 and 27448?

Greatest common factor (GCF) of 27437 and 27448 is 1.

GCF(27437,27448) = 1

We will now calculate the prime factors of 27437 and 27448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27437 and 27448.

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How to find the GCF of 27437 and 27448?

We will first find the prime factorization of 27437 and 27448. After we will calculate the factors of 27437 and 27448 and find the biggest common factor number .

Step-1: Prime Factorization of 27437

Prime factors of 27437 are 27437. Prime factorization of 27437 in exponential form is:

27437 = 274371

Step-2: Prime Factorization of 27448

Prime factors of 27448 are 2, 47, 73. Prime factorization of 27448 in exponential form is:

27448 = 23 × 471 × 731

Step-3: Factors of 27437

List of positive integer factors of 27437 that divides 27437 without a remainder.

1

Step-4: Factors of 27448

List of positive integer factors of 27448 that divides 27437 without a remainder.

1, 2, 4, 8, 47, 73, 94, 146, 188, 292, 376, 584, 3431, 6862, 13724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27437 and 27448. The biggest common factor number is the GCF number.
So the greatest common factor 27437 and 27448 is 1.

Also check out the Least Common Multiple of 27437 and 27448