What is the Greatest Common Factor of 71464 and 71472?
Greatest common factor (GCF) of 71464 and 71472 is 8.
GCF(71464,71472) = 8
We will now calculate the prime factors of 71464 and 71472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71464 and 71472.
How to find the GCF of 71464 and 71472?
We will first find the prime factorization of 71464 and 71472. After we will calculate the factors of 71464 and 71472 and find the biggest common factor number .
Step-1: Prime Factorization of 71464
Prime factors of 71464 are 2, 8933. Prime factorization of 71464 in exponential form is:
71464 = 23 × 89331
Step-2: Prime Factorization of 71472
Prime factors of 71472 are 2, 3, 1489. Prime factorization of 71472 in exponential form is:
71472 = 24 × 31 × 14891
Step-3: Factors of 71464
List of positive integer factors of 71464 that divides 71464 without a remainder.
1, 2, 4, 8, 8933, 17866, 35732
Step-4: Factors of 71472
List of positive integer factors of 71472 that divides 71464 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1489, 2978, 4467, 5956, 8934, 11912, 17868, 23824, 35736
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71464 and 71472. The biggest common factor number is the GCF number.
So the greatest common factor 71464 and 71472 is 8.
Also check out the Least Common Multiple of 71464 and 71472
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