What is the GCF of 1971 and 9797?
The GCF of 1971 and 9797 is 1.
Steps to find GCF
- Find the prime factorization of 1971
1971 = 3 × 3 × 3 × 73 - Find the prime factorization of 9797
9797 = 97 × 101 - 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).