What is the Greatest Common Factor of 34941 and 34956?
Greatest common factor (GCF) of 34941 and 34956 is 3.
GCF(34941,34956) = 3
We will now calculate the prime factors of 34941 and 34956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34941 and 34956.
How to find the GCF of 34941 and 34956?
We will first find the prime factorization of 34941 and 34956. After we will calculate the factors of 34941 and 34956 and find the biggest common factor number .
Step-1: Prime Factorization of 34941
Prime factors of 34941 are 3, 19, 613. Prime factorization of 34941 in exponential form is:
34941 = 31 × 191 × 6131
Step-2: Prime Factorization of 34956
Prime factors of 34956 are 2, 3, 971. Prime factorization of 34956 in exponential form is:
34956 = 22 × 32 × 9711
Step-3: Factors of 34941
List of positive integer factors of 34941 that divides 34941 without a remainder.
1, 3, 19, 57, 613, 1839, 11647
Step-4: Factors of 34956
List of positive integer factors of 34956 that divides 34941 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 971, 1942, 2913, 3884, 5826, 8739, 11652, 17478
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34941 and 34956. The biggest common factor number is the GCF number.
So the greatest common factor 34941 and 34956 is 3.
Also check out the Least Common Multiple of 34941 and 34956
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