What is the Greatest Common Factor of 282 and 292?
Greatest common factor (GCF) of 282 and 292 is 2.
GCF(282,292) = 2
We will now calculate the prime factors of 282 and 292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 282 and 292.
How to find the GCF of 282 and 292?
We will first find the prime factorization of 282 and 292. After we will calculate the factors of 282 and 292 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 292
Prime factors of 292 are 2, 73. Prime factorization of 292 in exponential form is:
292 = 22 × 731
Step-3: Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141
Step-4: Factors of 292
List of positive integer factors of 292 that divides 282 without a remainder.
1, 2, 4, 73, 146
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 282 and 292. The biggest common factor number is the GCF number.
So the greatest common factor 282 and 292 is 2.
Also check out the Least Common Multiple of 282 and 292
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