What is the Greatest Common Factor of 208 and 226?
Greatest common factor (GCF) of 208 and 226 is 2.
GCF(208,226) = 2
We will now calculate the prime factors of 208 and 226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 208 and 226.
How to find the GCF of 208 and 226?
We will first find the prime factorization of 208 and 226. After we will calculate the factors of 208 and 226 and find the biggest common factor number .
Step-1: Prime Factorization of 208
Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:
208 = 24 × 131
Step-2: Prime Factorization of 226
Prime factors of 226 are 2, 113. Prime factorization of 226 in exponential form is:
226 = 21 × 1131
Step-3: Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104
Step-4: Factors of 226
List of positive integer factors of 226 that divides 208 without a remainder.
1, 2, 113
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 208 and 226. The biggest common factor number is the GCF number.
So the greatest common factor 208 and 226 is 2.
Also check out the Least Common Multiple of 208 and 226
Related Greatest Common Factors of 208
- GCF of 208 and 212
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- GCF of 208 and 218
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- GCF of 208 and 220
- GCF of 208 and 221
- GCF of 208 and 222
- GCF of 208 and 223
- GCF of 208 and 224
- GCF of 208 and 225
- GCF of 208 and 226
- GCF of 208 and 227
- GCF of 208 and 228
Related Greatest Common Factors of 226
- GCF of 226 and 230
- GCF of 226 and 231
- GCF of 226 and 232
- GCF of 226 and 233
- GCF of 226 and 234
- GCF of 226 and 235
- GCF of 226 and 236
- GCF of 226 and 237
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- GCF of 226 and 240
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- GCF of 226 and 242
- GCF of 226 and 243
- GCF of 226 and 244
- GCF of 226 and 245
- GCF of 226 and 246