What is the Greatest Common Factor of 20568 and 20588?
Greatest common factor (GCF) of 20568 and 20588 is 4.
GCF(20568,20588) = 4
We will now calculate the prime factors of 20568 and 20588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20568 and 20588.
How to find the GCF of 20568 and 20588?
We will first find the prime factorization of 20568 and 20588. After we will calculate the factors of 20568 and 20588 and find the biggest common factor number .
Step-1: Prime Factorization of 20568
Prime factors of 20568 are 2, 3, 857. Prime factorization of 20568 in exponential form is:
20568 = 23 × 31 × 8571
Step-2: Prime Factorization of 20588
Prime factors of 20588 are 2, 5147. Prime factorization of 20588 in exponential form is:
20588 = 22 × 51471
Step-3: Factors of 20568
List of positive integer factors of 20568 that divides 20568 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 857, 1714, 2571, 3428, 5142, 6856, 10284
Step-4: Factors of 20588
List of positive integer factors of 20588 that divides 20568 without a remainder.
1, 2, 4, 5147, 10294
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20568 and 20588. The biggest common factor number is the GCF number.
So the greatest common factor 20568 and 20588 is 4.
Also check out the Least Common Multiple of 20568 and 20588
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