What is the GCF of 7776 and 1961?
The GCF of 7776 and 1961 is 1.
Steps to find GCF
- Find the prime factorization of 7776
7776 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 - Find the prime factorization of 1961
1961 = 37 × 53 - 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).