What is the Greatest Common Factor of 15888 and 15892?
Greatest common factor (GCF) of 15888 and 15892 is 4.
GCF(15888,15892) = 4
We will now calculate the prime factors of 15888 and 15892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15888 and 15892.
How to find the GCF of 15888 and 15892?
We will first find the prime factorization of 15888 and 15892. After we will calculate the factors of 15888 and 15892 and find the biggest common factor number .
Step-1: Prime Factorization of 15888
Prime factors of 15888 are 2, 3, 331. Prime factorization of 15888 in exponential form is:
15888 = 24 × 31 × 3311
Step-2: Prime Factorization of 15892
Prime factors of 15892 are 2, 29, 137. Prime factorization of 15892 in exponential form is:
15892 = 22 × 291 × 1371
Step-3: Factors of 15888
List of positive integer factors of 15888 that divides 15888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 331, 662, 993, 1324, 1986, 2648, 3972, 5296, 7944
Step-4: Factors of 15892
List of positive integer factors of 15892 that divides 15888 without a remainder.
1, 2, 4, 29, 58, 116, 137, 274, 548, 3973, 7946
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15888 and 15892. The biggest common factor number is the GCF number.
So the greatest common factor 15888 and 15892 is 4.
Also check out the Least Common Multiple of 15888 and 15892
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