What is the Greatest Common Factor of 253 and 262?
Greatest common factor (GCF) of 253 and 262 is 1.
GCF(253,262) = 1
We will now calculate the prime factors of 253 and 262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 253 and 262.
How to find the GCF of 253 and 262?
We will first find the prime factorization of 253 and 262. After we will calculate the factors of 253 and 262 and find the biggest common factor number .
Step-1: Prime Factorization of 253
Prime factors of 253 are 11, 23. Prime factorization of 253 in exponential form is:
253 = 111 × 231
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 253
List of positive integer factors of 253 that divides 253 without a remainder.
1, 11, 23
Step-4: Factors of 262
List of positive integer factors of 262 that divides 253 without a remainder.
1, 2, 131
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 253 and 262. The biggest common factor number is the GCF number.
So the greatest common factor 253 and 262 is 1.
Also check out the Least Common Multiple of 253 and 262
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