What is the Greatest Common Factor of 10939 and 10952?
Greatest common factor (GCF) of 10939 and 10952 is 1.
GCF(10939,10952) = 1
We will now calculate the prime factors of 10939 and 10952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10939 and 10952.
How to find the GCF of 10939 and 10952?
We will first find the prime factorization of 10939 and 10952. After we will calculate the factors of 10939 and 10952 and find the biggest common factor number .
Step-1: Prime Factorization of 10939
Prime factors of 10939 are 10939. Prime factorization of 10939 in exponential form is:
10939 = 109391
Step-2: Prime Factorization of 10952
Prime factors of 10952 are 2, 37. Prime factorization of 10952 in exponential form is:
10952 = 23 × 372
Step-3: Factors of 10939
List of positive integer factors of 10939 that divides 10939 without a remainder.
1
Step-4: Factors of 10952
List of positive integer factors of 10952 that divides 10939 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296, 1369, 2738, 5476
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10939 and 10952. The biggest common factor number is the GCF number.
So the greatest common factor 10939 and 10952 is 1.
Also check out the Least Common Multiple of 10939 and 10952
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