What is the Greatest Common Factor of 249 and 262?
Greatest common factor (GCF) of 249 and 262 is 1.
GCF(249,262) = 1
We will now calculate the prime factors of 249 and 262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 249 and 262.
How to find the GCF of 249 and 262?
We will first find the prime factorization of 249 and 262. After we will calculate the factors of 249 and 262 and find the biggest common factor number .
Step-1: Prime Factorization of 249
Prime factors of 249 are 3, 83. Prime factorization of 249 in exponential form is:
249 = 31 × 831
Step-2: Prime Factorization of 262
Prime factors of 262 are 2, 131. Prime factorization of 262 in exponential form is:
262 = 21 × 1311
Step-3: Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1, 3, 83
Step-4: Factors of 262
List of positive integer factors of 262 that divides 249 without a remainder.
1, 2, 131
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 249 and 262. The biggest common factor number is the GCF number.
So the greatest common factor 249 and 262 is 1.
Also check out the Least Common Multiple of 249 and 262
Related Greatest Common Factors of 249
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Related Greatest Common Factors of 262
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