What is the Greatest Common Factor of 254 and 267?
Greatest common factor (GCF) of 254 and 267 is 1.
GCF(254,267) = 1
We will now calculate the prime factors of 254 and 267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 254 and 267.
How to find the GCF of 254 and 267?
We will first find the prime factorization of 254 and 267. After we will calculate the factors of 254 and 267 and find the biggest common factor number .
Step-1: Prime Factorization of 254
Prime factors of 254 are 2, 127. Prime factorization of 254 in exponential form is:
254 = 21 × 1271
Step-2: Prime Factorization of 267
Prime factors of 267 are 3, 89. Prime factorization of 267 in exponential form is:
267 = 31 × 891
Step-3: Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1, 2, 127
Step-4: Factors of 267
List of positive integer factors of 267 that divides 254 without a remainder.
1, 3, 89
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 254 and 267. The biggest common factor number is the GCF number.
So the greatest common factor 254 and 267 is 1.
Also check out the Least Common Multiple of 254 and 267
Related Greatest Common Factors of 254
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Related Greatest Common Factors of 267
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