What is the Greatest Common Factor of 4988 and 5001?
Greatest common factor (GCF) of 4988 and 5001 is 1.
GCF(4988,5001) = 1
We will now calculate the prime factors of 4988 and 5001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4988 and 5001.
How to find the GCF of 4988 and 5001?
We will first find the prime factorization of 4988 and 5001. After we will calculate the factors of 4988 and 5001 and find the biggest common factor number .
Step-1: Prime Factorization of 4988
Prime factors of 4988 are 2, 29, 43. Prime factorization of 4988 in exponential form is:
4988 = 22 × 291 × 431
Step-2: Prime Factorization of 5001
Prime factors of 5001 are 3, 1667. Prime factorization of 5001 in exponential form is:
5001 = 31 × 16671
Step-3: Factors of 4988
List of positive integer factors of 4988 that divides 4988 without a remainder.
1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494
Step-4: Factors of 5001
List of positive integer factors of 5001 that divides 4988 without a remainder.
1, 3, 1667
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4988 and 5001. The biggest common factor number is the GCF number.
So the greatest common factor 4988 and 5001 is 1.
Also check out the Least Common Multiple of 4988 and 5001
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