What is the Greatest Common Factor of 31736 and 31748?
Greatest common factor (GCF) of 31736 and 31748 is 4.
GCF(31736,31748) = 4
We will now calculate the prime factors of 31736 and 31748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31736 and 31748.
How to find the GCF of 31736 and 31748?
We will first find the prime factorization of 31736 and 31748. After we will calculate the factors of 31736 and 31748 and find the biggest common factor number .
Step-1: Prime Factorization of 31736
Prime factors of 31736 are 2, 3967. Prime factorization of 31736 in exponential form is:
31736 = 23 × 39671
Step-2: Prime Factorization of 31748
Prime factors of 31748 are 2, 7937. Prime factorization of 31748 in exponential form is:
31748 = 22 × 79371
Step-3: Factors of 31736
List of positive integer factors of 31736 that divides 31736 without a remainder.
1, 2, 4, 8, 3967, 7934, 15868
Step-4: Factors of 31748
List of positive integer factors of 31748 that divides 31736 without a remainder.
1, 2, 4, 7937, 15874
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31736 and 31748. The biggest common factor number is the GCF number.
So the greatest common factor 31736 and 31748 is 4.
Also check out the Least Common Multiple of 31736 and 31748
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