What is the Greatest Common Factor of 273 and 286?
Greatest common factor (GCF) of 273 and 286 is 13.
GCF(273,286) = 13
We will now calculate the prime factors of 273 and 286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 273 and 286.
How to find the GCF of 273 and 286?
We will first find the prime factorization of 273 and 286. After we will calculate the factors of 273 and 286 and find the biggest common factor number .
Step-1: Prime Factorization of 273
Prime factors of 273 are 3, 7, 13. Prime factorization of 273 in exponential form is:
273 = 31 × 71 × 131
Step-2: Prime Factorization of 286
Prime factors of 286 are 2, 11, 13. Prime factorization of 286 in exponential form is:
286 = 21 × 111 × 131
Step-3: Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91
Step-4: Factors of 286
List of positive integer factors of 286 that divides 273 without a remainder.
1, 2, 11, 13, 22, 26, 143
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 273 and 286. The biggest common factor number is the GCF number.
So the greatest common factor 273 and 286 is 13.
Also check out the Least Common Multiple of 273 and 286
Related Greatest Common Factors of 273
- GCF of 273 and 277
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- GCF of 273 and 286
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Related Greatest Common Factors of 286
- GCF of 286 and 290
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