What is the Greatest Common Factor of 4996 and 5006?
Greatest common factor (GCF) of 4996 and 5006 is 2.
GCF(4996,5006) = 2
We will now calculate the prime factors of 4996 and 5006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4996 and 5006.
How to find the GCF of 4996 and 5006?
We will first find the prime factorization of 4996 and 5006. After we will calculate the factors of 4996 and 5006 and find the biggest common factor number .
Step-1: Prime Factorization of 4996
Prime factors of 4996 are 2, 1249. Prime factorization of 4996 in exponential form is:
4996 = 22 × 12491
Step-2: Prime Factorization of 5006
Prime factors of 5006 are 2, 2503. Prime factorization of 5006 in exponential form is:
5006 = 21 × 25031
Step-3: Factors of 4996
List of positive integer factors of 4996 that divides 4996 without a remainder.
1, 2, 4, 1249, 2498
Step-4: Factors of 5006
List of positive integer factors of 5006 that divides 4996 without a remainder.
1, 2, 2503
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4996 and 5006. The biggest common factor number is the GCF number.
So the greatest common factor 4996 and 5006 is 2.
Also check out the Least Common Multiple of 4996 and 5006
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