What is the Greatest Common Factor of 262 and 274?
Greatest common factor (GCF) of 262 and 274 is 2.
GCF(262,274) = 2
We will now calculate the prime factors of 262 and 274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 262 and 274.
How to find the GCF of 262 and 274?
We will first find the prime factorization of 262 and 274. After we will calculate the factors of 262 and 274 and find the biggest common factor number .
Step-1: Prime Factorization of 262
Prime factors of 262 are 2, 131. Prime factorization of 262 in exponential form is:
262 = 21 × 1311
Step-2: Prime Factorization of 274
Prime factors of 274 are 2, 137. Prime factorization of 274 in exponential form is:
274 = 21 × 1371
Step-3: Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1, 2, 131
Step-4: Factors of 274
List of positive integer factors of 274 that divides 262 without a remainder.
1, 2, 137
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 262 and 274. The biggest common factor number is the GCF number.
So the greatest common factor 262 and 274 is 2.
Also check out the Least Common Multiple of 262 and 274
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Related Greatest Common Factors of 274
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