What is the Greatest Common Factor of 30334 and 30342?
Greatest common factor (GCF) of 30334 and 30342 is 2.
GCF(30334,30342) = 2
We will now calculate the prime factors of 30334 and 30342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30334 and 30342.
How to find the GCF of 30334 and 30342?
We will first find the prime factorization of 30334 and 30342. After we will calculate the factors of 30334 and 30342 and find the biggest common factor number .
Step-1: Prime Factorization of 30334
Prime factors of 30334 are 2, 29, 523. Prime factorization of 30334 in exponential form is:
30334 = 21 × 291 × 5231
Step-2: Prime Factorization of 30342
Prime factors of 30342 are 2, 3, 13, 389. Prime factorization of 30342 in exponential form is:
30342 = 21 × 31 × 131 × 3891
Step-3: Factors of 30334
List of positive integer factors of 30334 that divides 30334 without a remainder.
1, 2, 29, 58, 523, 1046, 15167
Step-4: Factors of 30342
List of positive integer factors of 30342 that divides 30334 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 389, 778, 1167, 2334, 5057, 10114, 15171
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30334 and 30342. The biggest common factor number is the GCF number.
So the greatest common factor 30334 and 30342 is 2.
Also check out the Least Common Multiple of 30334 and 30342
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