What is the Greatest Common Factor of 7094 and 7112?
Greatest common factor (GCF) of 7094 and 7112 is 2.
GCF(7094,7112) = 2
We will now calculate the prime factors of 7094 and 7112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7094 and 7112.
How to find the GCF of 7094 and 7112?
We will first find the prime factorization of 7094 and 7112. After we will calculate the factors of 7094 and 7112 and find the biggest common factor number .
Step-1: Prime Factorization of 7094
Prime factors of 7094 are 2, 3547. Prime factorization of 7094 in exponential form is:
7094 = 21 × 35471
Step-2: Prime Factorization of 7112
Prime factors of 7112 are 2, 7, 127. Prime factorization of 7112 in exponential form is:
7112 = 23 × 71 × 1271
Step-3: Factors of 7094
List of positive integer factors of 7094 that divides 7094 without a remainder.
1, 2, 3547
Step-4: Factors of 7112
List of positive integer factors of 7112 that divides 7094 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7094 and 7112. The biggest common factor number is the GCF number.
So the greatest common factor 7094 and 7112 is 2.
Also check out the Least Common Multiple of 7094 and 7112
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