What is the Greatest Common Factor of 4939 and 4959?
Greatest common factor (GCF) of 4939 and 4959 is 1.
GCF(4939,4959) = 1
We will now calculate the prime factors of 4939 and 4959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4939 and 4959.
How to find the GCF of 4939 and 4959?
We will first find the prime factorization of 4939 and 4959. After we will calculate the factors of 4939 and 4959 and find the biggest common factor number .
Step-1: Prime Factorization of 4939
Prime factors of 4939 are 11, 449. Prime factorization of 4939 in exponential form is:
4939 = 111 × 4491
Step-2: Prime Factorization of 4959
Prime factors of 4959 are 3, 19, 29. Prime factorization of 4959 in exponential form is:
4959 = 32 × 191 × 291
Step-3: Factors of 4939
List of positive integer factors of 4939 that divides 4939 without a remainder.
1, 11, 449
Step-4: Factors of 4959
List of positive integer factors of 4959 that divides 4939 without a remainder.
1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4939 and 4959. The biggest common factor number is the GCF number.
So the greatest common factor 4939 and 4959 is 1.
Also check out the Least Common Multiple of 4939 and 4959
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