What is the Greatest Common Factor of 27430 and 27444?
Greatest common factor (GCF) of 27430 and 27444 is 2.
GCF(27430,27444) = 2
We will now calculate the prime factors of 27430 and 27444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27430 and 27444.
How to find the GCF of 27430 and 27444?
We will first find the prime factorization of 27430 and 27444. After we will calculate the factors of 27430 and 27444 and find the biggest common factor number .
Step-1: Prime Factorization of 27430
Prime factors of 27430 are 2, 5, 13, 211. Prime factorization of 27430 in exponential form is:
27430 = 21 × 51 × 131 × 2111
Step-2: Prime Factorization of 27444
Prime factors of 27444 are 2, 3, 2287. Prime factorization of 27444 in exponential form is:
27444 = 22 × 31 × 22871
Step-3: Factors of 27430
List of positive integer factors of 27430 that divides 27430 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130, 211, 422, 1055, 2110, 2743, 5486, 13715
Step-4: Factors of 27444
List of positive integer factors of 27444 that divides 27430 without a remainder.
1, 2, 3, 4, 6, 12, 2287, 4574, 6861, 9148, 13722
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27430 and 27444. The biggest common factor number is the GCF number.
So the greatest common factor 27430 and 27444 is 2.
Also check out the Least Common Multiple of 27430 and 27444
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