What is the Greatest Common Factor of 20214 and 20218?
Greatest common factor (GCF) of 20214 and 20218 is 2.
GCF(20214,20218) = 2
We will now calculate the prime factors of 20214 and 20218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20214 and 20218.
How to find the GCF of 20214 and 20218?
We will first find the prime factorization of 20214 and 20218. After we will calculate the factors of 20214 and 20218 and find the biggest common factor number .
Step-1: Prime Factorization of 20214
Prime factors of 20214 are 2, 3, 1123. Prime factorization of 20214 in exponential form is:
20214 = 21 × 32 × 11231
Step-2: Prime Factorization of 20218
Prime factors of 20218 are 2, 11, 919. Prime factorization of 20218 in exponential form is:
20218 = 21 × 111 × 9191
Step-3: Factors of 20214
List of positive integer factors of 20214 that divides 20214 without a remainder.
1, 2, 3, 6, 9, 18, 1123, 2246, 3369, 6738, 10107
Step-4: Factors of 20218
List of positive integer factors of 20218 that divides 20214 without a remainder.
1, 2, 11, 22, 919, 1838, 10109
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20214 and 20218. The biggest common factor number is the GCF number.
So the greatest common factor 20214 and 20218 is 2.
Also check out the Least Common Multiple of 20214 and 20218
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