What is the Greatest Common Factor of 21815 and 21825?
Greatest common factor (GCF) of 21815 and 21825 is 5.
GCF(21815,21825) = 5
We will now calculate the prime factors of 21815 and 21825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21815 and 21825.
How to find the GCF of 21815 and 21825?
We will first find the prime factorization of 21815 and 21825. After we will calculate the factors of 21815 and 21825 and find the biggest common factor number .
Step-1: Prime Factorization of 21815
Prime factors of 21815 are 5, 4363. Prime factorization of 21815 in exponential form is:
21815 = 51 × 43631
Step-2: Prime Factorization of 21825
Prime factors of 21825 are 3, 5, 97. Prime factorization of 21825 in exponential form is:
21825 = 32 × 52 × 971
Step-3: Factors of 21815
List of positive integer factors of 21815 that divides 21815 without a remainder.
1, 5, 4363
Step-4: Factors of 21825
List of positive integer factors of 21825 that divides 21815 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 97, 225, 291, 485, 873, 1455, 2425, 4365, 7275
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21815 and 21825. The biggest common factor number is the GCF number.
So the greatest common factor 21815 and 21825 is 5.
Also check out the Least Common Multiple of 21815 and 21825
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