What is the Greatest Common Factor of 31852 and 31856?
Greatest common factor (GCF) of 31852 and 31856 is 4.
GCF(31852,31856) = 4
We will now calculate the prime factors of 31852 and 31856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31852 and 31856.
How to find the GCF of 31852 and 31856?
We will first find the prime factorization of 31852 and 31856. After we will calculate the factors of 31852 and 31856 and find the biggest common factor number .
Step-1: Prime Factorization of 31852
Prime factors of 31852 are 2, 7963. Prime factorization of 31852 in exponential form is:
31852 = 22 × 79631
Step-2: Prime Factorization of 31856
Prime factors of 31856 are 2, 11, 181. Prime factorization of 31856 in exponential form is:
31856 = 24 × 111 × 1811
Step-3: Factors of 31852
List of positive integer factors of 31852 that divides 31852 without a remainder.
1, 2, 4, 7963, 15926
Step-4: Factors of 31856
List of positive integer factors of 31856 that divides 31852 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 181, 362, 724, 1448, 1991, 2896, 3982, 7964, 15928
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31852 and 31856. The biggest common factor number is the GCF number.
So the greatest common factor 31852 and 31856 is 4.
Also check out the Least Common Multiple of 31852 and 31856
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