What is the Greatest Common Factor of 257 and 264?
Greatest common factor (GCF) of 257 and 264 is 1.
GCF(257,264) = 1
We will now calculate the prime factors of 257 and 264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 257 and 264.
How to find the GCF of 257 and 264?
We will first find the prime factorization of 257 and 264. After we will calculate the factors of 257 and 264 and find the biggest common factor number .
Step-1: Prime Factorization of 257
Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:
257 = 2571
Step-2: Prime Factorization of 264
Prime factors of 264 are 2, 3, 11. Prime factorization of 264 in exponential form is:
264 = 23 × 31 × 111
Step-3: Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1
Step-4: Factors of 264
List of positive integer factors of 264 that divides 257 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 257 and 264. The biggest common factor number is the GCF number.
So the greatest common factor 257 and 264 is 1.
Also check out the Least Common Multiple of 257 and 264
Related Greatest Common Factors of 257
- GCF of 257 and 261
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- GCF of 257 and 264
- GCF of 257 and 265
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Related Greatest Common Factors of 264
- GCF of 264 and 268
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- GCF of 264 and 272
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- GCF of 264 and 275
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