What is the Greatest Common Factor of 777 and 784?
Greatest common factor (GCF) of 777 and 784 is 7.
GCF(777,784) = 7
We will now calculate the prime factors of 777 and 784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 777 and 784.
How to find the GCF of 777 and 784?
We will first find the prime factorization of 777 and 784. After we will calculate the factors of 777 and 784 and find the biggest common factor number .
Step-1: Prime Factorization of 777
Prime factors of 777 are 3, 7, 37. Prime factorization of 777 in exponential form is:
777 = 31 × 71 × 371
Step-2: Prime Factorization of 784
Prime factors of 784 are 2, 7. Prime factorization of 784 in exponential form is:
784 = 24 × 72
Step-3: Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259
Step-4: Factors of 784
List of positive integer factors of 784 that divides 777 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 777 and 784. The biggest common factor number is the GCF number.
So the greatest common factor 777 and 784 is 7.
Also check out the Least Common Multiple of 777 and 784
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Related Greatest Common Factors of 784
- GCF of 784 and 788
- GCF of 784 and 789
- GCF of 784 and 790
- GCF of 784 and 791
- GCF of 784 and 792
- GCF of 784 and 793
- GCF of 784 and 794
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