What is the Greatest Common Factor of 68658 and 68672?
Greatest common factor (GCF) of 68658 and 68672 is 2.
GCF(68658,68672) = 2
We will now calculate the prime factors of 68658 and 68672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68658 and 68672.
How to find the GCF of 68658 and 68672?
We will first find the prime factorization of 68658 and 68672. After we will calculate the factors of 68658 and 68672 and find the biggest common factor number .
Step-1: Prime Factorization of 68658
Prime factors of 68658 are 2, 3, 11443. Prime factorization of 68658 in exponential form is:
68658 = 21 × 31 × 114431
Step-2: Prime Factorization of 68672
Prime factors of 68672 are 2, 29, 37. Prime factorization of 68672 in exponential form is:
68672 = 26 × 291 × 371
Step-3: Factors of 68658
List of positive integer factors of 68658 that divides 68658 without a remainder.
1, 2, 3, 6, 11443, 22886, 34329
Step-4: Factors of 68672
List of positive integer factors of 68672 that divides 68658 without a remainder.
1, 2, 4, 8, 16, 29, 32, 37, 58, 64, 74, 116, 148, 232, 296, 464, 592, 928, 1073, 1184, 1856, 2146, 2368, 4292, 8584, 17168, 34336
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68658 and 68672. The biggest common factor number is the GCF number.
So the greatest common factor 68658 and 68672 is 2.
Also check out the Least Common Multiple of 68658 and 68672
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