What is the Greatest Common Factor of 27448 and 27460?
Greatest common factor (GCF) of 27448 and 27460 is 4.
GCF(27448,27460) = 4
We will now calculate the prime factors of 27448 and 27460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27448 and 27460.
How to find the GCF of 27448 and 27460?
We will first find the prime factorization of 27448 and 27460. After we will calculate the factors of 27448 and 27460 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 27460
Prime factors of 27460 are 2, 5, 1373. Prime factorization of 27460 in exponential form is:
27460 = 22 × 51 × 13731
Step-3: Factors of 27448
List of positive integer factors of 27448 that divides 27448 without a remainder.
1, 2, 4, 8, 47, 73, 94, 146, 188, 292, 376, 584, 3431, 6862, 13724
Step-4: Factors of 27460
List of positive integer factors of 27460 that divides 27448 without a remainder.
1, 2, 4, 5, 10, 20, 1373, 2746, 5492, 6865, 13730
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27448 and 27460. The biggest common factor number is the GCF number.
So the greatest common factor 27448 and 27460 is 4.
Also check out the Least Common Multiple of 27448 and 27460
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