What is the Greatest Common Factor of 268 and 276?
Greatest common factor (GCF) of 268 and 276 is 4.
GCF(268,276) = 4
We will now calculate the prime factors of 268 and 276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 268 and 276.
How to find the GCF of 268 and 276?
We will first find the prime factorization of 268 and 276. After we will calculate the factors of 268 and 276 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 276
Prime factors of 276 are 2, 3, 23. Prime factorization of 276 in exponential form is:
276 = 22 × 31 × 231
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 276
List of positive integer factors of 276 that divides 268 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 268 and 276. The biggest common factor number is the GCF number.
So the greatest common factor 268 and 276 is 4.
Also check out the Least Common Multiple of 268 and 276
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