What is the Greatest Common Factor of 68238 and 68254?
Greatest common factor (GCF) of 68238 and 68254 is 2.
GCF(68238,68254) = 2
We will now calculate the prime factors of 68238 and 68254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68238 and 68254.
How to find the GCF of 68238 and 68254?
We will first find the prime factorization of 68238 and 68254. After we will calculate the factors of 68238 and 68254 and find the biggest common factor number .
Step-1: Prime Factorization of 68238
Prime factors of 68238 are 2, 3, 17, 223. Prime factorization of 68238 in exponential form is:
68238 = 21 × 32 × 171 × 2231
Step-2: Prime Factorization of 68254
Prime factors of 68254 are 2, 34127. Prime factorization of 68254 in exponential form is:
68254 = 21 × 341271
Step-3: Factors of 68238
List of positive integer factors of 68238 that divides 68238 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 223, 306, 446, 669, 1338, 2007, 3791, 4014, 7582, 11373, 22746, 34119
Step-4: Factors of 68254
List of positive integer factors of 68254 that divides 68238 without a remainder.
1, 2, 34127
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68238 and 68254. The biggest common factor number is the GCF number.
So the greatest common factor 68238 and 68254 is 2.
Also check out the Least Common Multiple of 68238 and 68254
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