What is the Greatest Common Factor of 292 and 311?
Greatest common factor (GCF) of 292 and 311 is 1.
GCF(292,311) = 1
We will now calculate the prime factors of 292 and 311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 292 and 311.
How to find the GCF of 292 and 311?
We will first find the prime factorization of 292 and 311. After we will calculate the factors of 292 and 311 and find the biggest common factor number .
Step-1: Prime Factorization of 292
Prime factors of 292 are 2, 73. Prime factorization of 292 in exponential form is:
292 = 22 × 731
Step-2: Prime Factorization of 311
Prime factors of 311 are 311. Prime factorization of 311 in exponential form is:
311 = 3111
Step-3: Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146
Step-4: Factors of 311
List of positive integer factors of 311 that divides 292 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 292 and 311. The biggest common factor number is the GCF number.
So the greatest common factor 292 and 311 is 1.
Also check out the Least Common Multiple of 292 and 311
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