What is the Greatest Common Factor of 27548 and 27556?
Greatest common factor (GCF) of 27548 and 27556 is 4.
GCF(27548,27556) = 4
We will now calculate the prime factors of 27548 and 27556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27548 and 27556.
How to find the GCF of 27548 and 27556?
We will first find the prime factorization of 27548 and 27556. After we will calculate the factors of 27548 and 27556 and find the biggest common factor number .
Step-1: Prime Factorization of 27548
Prime factors of 27548 are 2, 71, 97. Prime factorization of 27548 in exponential form is:
27548 = 22 × 711 × 971
Step-2: Prime Factorization of 27556
Prime factors of 27556 are 2, 83. Prime factorization of 27556 in exponential form is:
27556 = 22 × 832
Step-3: Factors of 27548
List of positive integer factors of 27548 that divides 27548 without a remainder.
1, 2, 4, 71, 97, 142, 194, 284, 388, 6887, 13774
Step-4: Factors of 27556
List of positive integer factors of 27556 that divides 27548 without a remainder.
1, 2, 4, 83, 166, 332, 6889, 13778
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27548 and 27556. The biggest common factor number is the GCF number.
So the greatest common factor 27548 and 27556 is 4.
Also check out the Least Common Multiple of 27548 and 27556
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