What is the Greatest Common Factor of 5884 and 5900?
Greatest common factor (GCF) of 5884 and 5900 is 4.
GCF(5884,5900) = 4
We will now calculate the prime factors of 5884 and 5900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5884 and 5900.
How to find the GCF of 5884 and 5900?
We will first find the prime factorization of 5884 and 5900. After we will calculate the factors of 5884 and 5900 and find the biggest common factor number .
Step-1: Prime Factorization of 5884
Prime factors of 5884 are 2, 1471. Prime factorization of 5884 in exponential form is:
5884 = 22 × 14711
Step-2: Prime Factorization of 5900
Prime factors of 5900 are 2, 5, 59. Prime factorization of 5900 in exponential form is:
5900 = 22 × 52 × 591
Step-3: Factors of 5884
List of positive integer factors of 5884 that divides 5884 without a remainder.
1, 2, 4, 1471, 2942
Step-4: Factors of 5900
List of positive integer factors of 5900 that divides 5884 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5884 and 5900. The biggest common factor number is the GCF number.
So the greatest common factor 5884 and 5900 is 4.
Also check out the Least Common Multiple of 5884 and 5900
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