What is the Greatest Common Factor of 10942 and 10950?
Greatest common factor (GCF) of 10942 and 10950 is 2.
GCF(10942,10950) = 2
We will now calculate the prime factors of 10942 and 10950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10942 and 10950.
How to find the GCF of 10942 and 10950?
We will first find the prime factorization of 10942 and 10950. After we will calculate the factors of 10942 and 10950 and find the biggest common factor number .
Step-1: Prime Factorization of 10942
Prime factors of 10942 are 2, 5471. Prime factorization of 10942 in exponential form is:
10942 = 21 × 54711
Step-2: Prime Factorization of 10950
Prime factors of 10950 are 2, 3, 5, 73. Prime factorization of 10950 in exponential form is:
10950 = 21 × 31 × 52 × 731
Step-3: Factors of 10942
List of positive integer factors of 10942 that divides 10942 without a remainder.
1, 2, 5471
Step-4: Factors of 10950
List of positive integer factors of 10950 that divides 10942 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 73, 75, 146, 150, 219, 365, 438, 730, 1095, 1825, 2190, 3650, 5475
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10942 and 10950. The biggest common factor number is the GCF number.
So the greatest common factor 10942 and 10950 is 2.
Also check out the Least Common Multiple of 10942 and 10950
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