What is the Greatest Common Factor of 67848 and 67858?
Greatest common factor (GCF) of 67848 and 67858 is 2.
GCF(67848,67858) = 2
We will now calculate the prime factors of 67848 and 67858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67848 and 67858.
How to find the GCF of 67848 and 67858?
We will first find the prime factorization of 67848 and 67858. After we will calculate the factors of 67848 and 67858 and find the biggest common factor number .
Step-1: Prime Factorization of 67848
Prime factors of 67848 are 2, 3, 11, 257. Prime factorization of 67848 in exponential form is:
67848 = 23 × 31 × 111 × 2571
Step-2: Prime Factorization of 67858
Prime factors of 67858 are 2, 7, 37, 131. Prime factorization of 67858 in exponential form is:
67858 = 21 × 71 × 371 × 1311
Step-3: Factors of 67848
List of positive integer factors of 67848 that divides 67848 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 257, 264, 514, 771, 1028, 1542, 2056, 2827, 3084, 5654, 6168, 8481, 11308, 16962, 22616, 33924
Step-4: Factors of 67858
List of positive integer factors of 67858 that divides 67848 without a remainder.
1, 2, 7, 14, 37, 74, 131, 259, 262, 518, 917, 1834, 4847, 9694, 33929
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67848 and 67858. The biggest common factor number is the GCF number.
So the greatest common factor 67848 and 67858 is 2.
Also check out the Least Common Multiple of 67848 and 67858
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