What is the Greatest Common Factor of 15872 and 15890?
Greatest common factor (GCF) of 15872 and 15890 is 2.
GCF(15872,15890) = 2
We will now calculate the prime factors of 15872 and 15890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15872 and 15890.
How to find the GCF of 15872 and 15890?
We will first find the prime factorization of 15872 and 15890. After we will calculate the factors of 15872 and 15890 and find the biggest common factor number .
Step-1: Prime Factorization of 15872
Prime factors of 15872 are 2, 31. Prime factorization of 15872 in exponential form is:
15872 = 29 × 311
Step-2: Prime Factorization of 15890
Prime factors of 15890 are 2, 5, 7, 227. Prime factorization of 15890 in exponential form is:
15890 = 21 × 51 × 71 × 2271
Step-3: Factors of 15872
List of positive integer factors of 15872 that divides 15872 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992, 1984, 3968, 7936
Step-4: Factors of 15890
List of positive integer factors of 15890 that divides 15872 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 227, 454, 1135, 1589, 2270, 3178, 7945
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15872 and 15890. The biggest common factor number is the GCF number.
So the greatest common factor 15872 and 15890 is 2.
Also check out the Least Common Multiple of 15872 and 15890
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