What is the Greatest Common Factor of 268 and 286?
Greatest common factor (GCF) of 268 and 286 is 2.
GCF(268,286) = 2
We will now calculate the prime factors of 268 and 286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 268 and 286.
How to find the GCF of 268 and 286?
We will first find the prime factorization of 268 and 286. After we will calculate the factors of 268 and 286 and find the biggest common factor number .
Step-1: Prime Factorization of 268
Prime factors of 268 are 2, 67. Prime factorization of 268 in exponential form is:
268 = 22 × 671
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 268
List of positive integer factors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134
Step-4: Factors of 286
List of positive integer factors of 286 that divides 268 without a remainder.
1, 2, 11, 13, 22, 26, 143
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 268 and 286. The biggest common factor number is the GCF number.
So the greatest common factor 268 and 286 is 2.
Also check out the Least Common Multiple of 268 and 286
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