What is the Greatest Common Factor of 34268 and 34278?
Greatest common factor (GCF) of 34268 and 34278 is 2.
GCF(34268,34278) = 2
We will now calculate the prime factors of 34268 and 34278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34268 and 34278.
How to find the GCF of 34268 and 34278?
We will first find the prime factorization of 34268 and 34278. After we will calculate the factors of 34268 and 34278 and find the biggest common factor number .
Step-1: Prime Factorization of 34268
Prime factors of 34268 are 2, 13, 659. Prime factorization of 34268 in exponential form is:
34268 = 22 × 131 × 6591
Step-2: Prime Factorization of 34278
Prime factors of 34278 are 2, 3, 29, 197. Prime factorization of 34278 in exponential form is:
34278 = 21 × 31 × 291 × 1971
Step-3: Factors of 34268
List of positive integer factors of 34268 that divides 34268 without a remainder.
1, 2, 4, 13, 26, 52, 659, 1318, 2636, 8567, 17134
Step-4: Factors of 34278
List of positive integer factors of 34278 that divides 34268 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174, 197, 394, 591, 1182, 5713, 11426, 17139
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34268 and 34278. The biggest common factor number is the GCF number.
So the greatest common factor 34268 and 34278 is 2.
Also check out the Least Common Multiple of 34268 and 34278
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