What is the Greatest Common Factor of 784 and 790?
Greatest common factor (GCF) of 784 and 790 is 2.
GCF(784,790) = 2
We will now calculate the prime factors of 784 and 790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 784 and 790.
How to find the GCF of 784 and 790?
We will first find the prime factorization of 784 and 790. After we will calculate the factors of 784 and 790 and find the biggest common factor number .
Step-1: Prime Factorization of 784
Prime factors of 784 are 2, 7. Prime factorization of 784 in exponential form is:
784 = 24 × 72
Step-2: Prime Factorization of 790
Prime factors of 790 are 2, 5, 79. Prime factorization of 790 in exponential form is:
790 = 21 × 51 × 791
Step-3: Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392
Step-4: Factors of 790
List of positive integer factors of 790 that divides 784 without a remainder.
1, 2, 5, 10, 79, 158, 395
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 784 and 790. The biggest common factor number is the GCF number.
So the greatest common factor 784 and 790 is 2.
Also check out the Least Common Multiple of 784 and 790
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