What is the Greatest Common Factor of 4961 and 4976?
Greatest common factor (GCF) of 4961 and 4976 is 1.
GCF(4961,4976) = 1
We will now calculate the prime factors of 4961 and 4976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4961 and 4976.
How to find the GCF of 4961 and 4976?
We will first find the prime factorization of 4961 and 4976. After we will calculate the factors of 4961 and 4976 and find the biggest common factor number .
Step-1: Prime Factorization of 4961
Prime factors of 4961 are 11, 41. Prime factorization of 4961 in exponential form is:
4961 = 112 × 411
Step-2: Prime Factorization of 4976
Prime factors of 4976 are 2, 311. Prime factorization of 4976 in exponential form is:
4976 = 24 × 3111
Step-3: Factors of 4961
List of positive integer factors of 4961 that divides 4961 without a remainder.
1, 11, 41, 121, 451
Step-4: Factors of 4976
List of positive integer factors of 4976 that divides 4961 without a remainder.
1, 2, 4, 8, 16, 311, 622, 1244, 2488
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4961 and 4976. The biggest common factor number is the GCF number.
So the greatest common factor 4961 and 4976 is 1.
Also check out the Least Common Multiple of 4961 and 4976
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