What is the Greatest Common Factor of 68734 and 68754?
Greatest common factor (GCF) of 68734 and 68754 is 2.
GCF(68734,68754) = 2
We will now calculate the prime factors of 68734 and 68754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68734 and 68754.
How to find the GCF of 68734 and 68754?
We will first find the prime factorization of 68734 and 68754. After we will calculate the factors of 68734 and 68754 and find the biggest common factor number .
Step-1: Prime Factorization of 68734
Prime factors of 68734 are 2, 34367. Prime factorization of 68734 in exponential form is:
68734 = 21 × 343671
Step-2: Prime Factorization of 68754
Prime factors of 68754 are 2, 3, 7, 1637. Prime factorization of 68754 in exponential form is:
68754 = 21 × 31 × 71 × 16371
Step-3: Factors of 68734
List of positive integer factors of 68734 that divides 68734 without a remainder.
1, 2, 34367
Step-4: Factors of 68754
List of positive integer factors of 68754 that divides 68734 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 1637, 3274, 4911, 9822, 11459, 22918, 34377
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68734 and 68754. The biggest common factor number is the GCF number.
So the greatest common factor 68734 and 68754 is 2.
Also check out the Least Common Multiple of 68734 and 68754
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