What is the Greatest Common Factor of 20454 and 20472?
Greatest common factor (GCF) of 20454 and 20472 is 6.
GCF(20454,20472) = 6
We will now calculate the prime factors of 20454 and 20472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20454 and 20472.
How to find the GCF of 20454 and 20472?
We will first find the prime factorization of 20454 and 20472. After we will calculate the factors of 20454 and 20472 and find the biggest common factor number .
Step-1: Prime Factorization of 20454
Prime factors of 20454 are 2, 3, 7, 487. Prime factorization of 20454 in exponential form is:
20454 = 21 × 31 × 71 × 4871
Step-2: Prime Factorization of 20472
Prime factors of 20472 are 2, 3, 853. Prime factorization of 20472 in exponential form is:
20472 = 23 × 31 × 8531
Step-3: Factors of 20454
List of positive integer factors of 20454 that divides 20454 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 487, 974, 1461, 2922, 3409, 6818, 10227
Step-4: Factors of 20472
List of positive integer factors of 20472 that divides 20454 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 853, 1706, 2559, 3412, 5118, 6824, 10236
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20454 and 20472. The biggest common factor number is the GCF number.
So the greatest common factor 20454 and 20472 is 6.
Also check out the Least Common Multiple of 20454 and 20472
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