What is the Greatest Common Factor of 281 and 296?
Greatest common factor (GCF) of 281 and 296 is 1.
GCF(281,296) = 1
We will now calculate the prime factors of 281 and 296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 281 and 296.
How to find the GCF of 281 and 296?
We will first find the prime factorization of 281 and 296. After we will calculate the factors of 281 and 296 and find the biggest common factor number .
Step-1: Prime Factorization of 281
Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:
281 = 2811
Step-2: Prime Factorization of 296
Prime factors of 296 are 2, 37. Prime factorization of 296 in exponential form is:
296 = 23 × 371
Step-3: Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1
Step-4: Factors of 296
List of positive integer factors of 296 that divides 281 without a remainder.
1, 2, 4, 8, 37, 74, 148
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 281 and 296. The biggest common factor number is the GCF number.
So the greatest common factor 281 and 296 is 1.
Also check out the Least Common Multiple of 281 and 296
Related Greatest Common Factors of 281
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Related Greatest Common Factors of 296
- GCF of 296 and 300
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