What is the Greatest Common Factor of 284 and 298?
Greatest common factor (GCF) of 284 and 298 is 2.
GCF(284,298) = 2
We will now calculate the prime factors of 284 and 298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 284 and 298.
How to find the GCF of 284 and 298?
We will first find the prime factorization of 284 and 298. After we will calculate the factors of 284 and 298 and find the biggest common factor number .
Step-1: Prime Factorization of 284
Prime factors of 284 are 2, 71. Prime factorization of 284 in exponential form is:
284 = 22 × 711
Step-2: Prime Factorization of 298
Prime factors of 298 are 2, 149. Prime factorization of 298 in exponential form is:
298 = 21 × 1491
Step-3: Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142
Step-4: Factors of 298
List of positive integer factors of 298 that divides 284 without a remainder.
1, 2, 149
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 284 and 298. The biggest common factor number is the GCF number.
So the greatest common factor 284 and 298 is 2.
Also check out the Least Common Multiple of 284 and 298
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