What is the Greatest Common Factor of 274 and 282?
Greatest common factor (GCF) of 274 and 282 is 2.
GCF(274,282) = 2
We will now calculate the prime factors of 274 and 282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 274 and 282.
How to find the GCF of 274 and 282?
We will first find the prime factorization of 274 and 282. After we will calculate the factors of 274 and 282 and find the biggest common factor number .
Step-1: Prime Factorization of 274
Prime factors of 274 are 2, 137. Prime factorization of 274 in exponential form is:
274 = 21 × 1371
Step-2: Prime Factorization of 282
Prime factors of 282 are 2, 3, 47. Prime factorization of 282 in exponential form is:
282 = 21 × 31 × 471
Step-3: Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1, 2, 137
Step-4: Factors of 282
List of positive integer factors of 282 that divides 274 without a remainder.
1, 2, 3, 6, 47, 94, 141
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 274 and 282. The biggest common factor number is the GCF number.
So the greatest common factor 274 and 282 is 2.
Also check out the Least Common Multiple of 274 and 282
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