What is the Greatest Common Factor of 785 and 801?
Greatest common factor (GCF) of 785 and 801 is 1.
GCF(785,801) = 1
We will now calculate the prime factors of 785 and 801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 785 and 801.
How to find the GCF of 785 and 801?
We will first find the prime factorization of 785 and 801. After we will calculate the factors of 785 and 801 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 801
Prime factors of 801 are 3, 89. Prime factorization of 801 in exponential form is:
801 = 32 × 891
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 801
List of positive integer factors of 801 that divides 785 without a remainder.
1, 3, 9, 89, 267
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 785 and 801. The biggest common factor number is the GCF number.
So the greatest common factor 785 and 801 is 1.
Also check out the Least Common Multiple of 785 and 801
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