What is the Greatest Common Factor of 21618 and 21631?
Greatest common factor (GCF) of 21618 and 21631 is 1.
GCF(21618,21631) = 1
We will now calculate the prime factors of 21618 and 21631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21618 and 21631.
How to find the GCF of 21618 and 21631?
We will first find the prime factorization of 21618 and 21631. After we will calculate the factors of 21618 and 21631 and find the biggest common factor number .
Step-1: Prime Factorization of 21618
Prime factors of 21618 are 2, 3, 1201. Prime factorization of 21618 in exponential form is:
21618 = 21 × 32 × 12011
Step-2: Prime Factorization of 21631
Prime factors of 21631 are 97, 223. Prime factorization of 21631 in exponential form is:
21631 = 971 × 2231
Step-3: Factors of 21618
List of positive integer factors of 21618 that divides 21618 without a remainder.
1, 2, 3, 6, 9, 18, 1201, 2402, 3603, 7206, 10809
Step-4: Factors of 21631
List of positive integer factors of 21631 that divides 21618 without a remainder.
1, 97, 223
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21618 and 21631. The biggest common factor number is the GCF number.
So the greatest common factor 21618 and 21631 is 1.
Also check out the Least Common Multiple of 21618 and 21631
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