What is the Greatest Common Factor of 4971 and 4988?
Greatest common factor (GCF) of 4971 and 4988 is 1.
GCF(4971,4988) = 1
We will now calculate the prime factors of 4971 and 4988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4971 and 4988.
How to find the GCF of 4971 and 4988?
We will first find the prime factorization of 4971 and 4988. After we will calculate the factors of 4971 and 4988 and find the biggest common factor number .
Step-1: Prime Factorization of 4971
Prime factors of 4971 are 3, 1657. Prime factorization of 4971 in exponential form is:
4971 = 31 × 16571
Step-2: 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-3: Factors of 4971
List of positive integer factors of 4971 that divides 4971 without a remainder.
1, 3, 1657
Step-4: Factors of 4988
List of positive integer factors of 4988 that divides 4971 without a remainder.
1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4971 and 4988. The biggest common factor number is the GCF number.
So the greatest common factor 4971 and 4988 is 1.
Also check out the Least Common Multiple of 4971 and 4988
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