What is the Greatest Common Factor of 23768 and 23788?
Greatest common factor (GCF) of 23768 and 23788 is 4.
GCF(23768,23788) = 4
We will now calculate the prime factors of 23768 and 23788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23768 and 23788.
How to find the GCF of 23768 and 23788?
We will first find the prime factorization of 23768 and 23788. After we will calculate the factors of 23768 and 23788 and find the biggest common factor number .
Step-1: Prime Factorization of 23768
Prime factors of 23768 are 2, 2971. Prime factorization of 23768 in exponential form is:
23768 = 23 × 29711
Step-2: Prime Factorization of 23788
Prime factors of 23788 are 2, 19, 313. Prime factorization of 23788 in exponential form is:
23788 = 22 × 191 × 3131
Step-3: Factors of 23768
List of positive integer factors of 23768 that divides 23768 without a remainder.
1, 2, 4, 8, 2971, 5942, 11884
Step-4: Factors of 23788
List of positive integer factors of 23788 that divides 23768 without a remainder.
1, 2, 4, 19, 38, 76, 313, 626, 1252, 5947, 11894
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 23768 and 23788. The biggest common factor number is the GCF number.
So the greatest common factor 23768 and 23788 is 4.
Also check out the Least Common Multiple of 23768 and 23788
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