What is the GCF of 8100 and 2101?
The GCF of 8100 and 2101 is 1.
Steps to find GCF
- Find the prime factorization of 8100
8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 - Find the prime factorization of 2101
2101 = 11 × 191 - To find the GCF, multiply all the prime factors common to both numbers:
Note that there are no common prime factors. - Therefore, GCF = 1 (since 1 is a factor of every number)
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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).