What is the Greatest Common Factor of 27943 and 27950?
Greatest common factor (GCF) of 27943 and 27950 is 1.
GCF(27943,27950) = 1
We will now calculate the prime factors of 27943 and 27950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27943 and 27950.
How to find the GCF of 27943 and 27950?
We will first find the prime factorization of 27943 and 27950. After we will calculate the factors of 27943 and 27950 and find the biggest common factor number .
Step-1: Prime Factorization of 27943
Prime factors of 27943 are 27943. Prime factorization of 27943 in exponential form is:
27943 = 279431
Step-2: Prime Factorization of 27950
Prime factors of 27950 are 2, 5, 13, 43. Prime factorization of 27950 in exponential form is:
27950 = 21 × 52 × 131 × 431
Step-3: Factors of 27943
List of positive integer factors of 27943 that divides 27943 without a remainder.
1
Step-4: Factors of 27950
List of positive integer factors of 27950 that divides 27943 without a remainder.
1, 2, 5, 10, 13, 25, 26, 43, 50, 65, 86, 130, 215, 325, 430, 559, 650, 1075, 1118, 2150, 2795, 5590, 13975
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27943 and 27950. The biggest common factor number is the GCF number.
So the greatest common factor 27943 and 27950 is 1.
Also check out the Least Common Multiple of 27943 and 27950
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Related Greatest Common Factors of 27950
- GCF of 27950 and 27954
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