What is the Greatest Common Factor of 785 and 804?
Greatest common factor (GCF) of 785 and 804 is 1.
GCF(785,804) = 1
We will now calculate the prime factors of 785 and 804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 785 and 804.
How to find the GCF of 785 and 804?
We will first find the prime factorization of 785 and 804. After we will calculate the factors of 785 and 804 and find the biggest common factor number .
Step-1: Prime Factorization of 785
Prime factors of 785 are 5, 157. Prime factorization of 785 in exponential form is:
785 = 51 × 1571
Step-2: Prime Factorization of 804
Prime factors of 804 are 2, 3, 67. Prime factorization of 804 in exponential form is:
804 = 22 × 31 × 671
Step-3: Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1, 5, 157
Step-4: Factors of 804
List of positive integer factors of 804 that divides 785 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 785 and 804. The biggest common factor number is the GCF number.
So the greatest common factor 785 and 804 is 1.
Also check out the Least Common Multiple of 785 and 804
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