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What is the Greatest Common Factor of 68008 and 68023?

Greatest common factor (GCF) of 68008 and 68023 is 1.

GCF(68008,68023) = 1

We will now calculate the prime factors of 68008 and 68023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68008 and 68023.

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How to find the GCF of 68008 and 68023?

We will first find the prime factorization of 68008 and 68023. After we will calculate the factors of 68008 and 68023 and find the biggest common factor number .

Step-1: Prime Factorization of 68008

Prime factors of 68008 are 2, 8501. Prime factorization of 68008 in exponential form is:

68008 = 23 × 85011

Step-2: Prime Factorization of 68023

Prime factors of 68023 are 68023. Prime factorization of 68023 in exponential form is:

68023 = 680231

Step-3: Factors of 68008

List of positive integer factors of 68008 that divides 68008 without a remainder.

1, 2, 4, 8, 8501, 17002, 34004

Step-4: Factors of 68023

List of positive integer factors of 68023 that divides 68008 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68008 and 68023. The biggest common factor number is the GCF number.
So the greatest common factor 68008 and 68023 is 1.

Also check out the Least Common Multiple of 68008 and 68023