What is the Greatest Common Factor of 42159 and 42167?
Greatest common factor (GCF) of 42159 and 42167 is 1.
GCF(42159,42167) = 1
We will now calculate the prime factors of 42159 and 42167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42159 and 42167.
How to find the GCF of 42159 and 42167?
We will first find the prime factorization of 42159 and 42167. After we will calculate the factors of 42159 and 42167 and find the biggest common factor number .
Step-1: Prime Factorization of 42159
Prime factors of 42159 are 3, 13, 23, 47. Prime factorization of 42159 in exponential form is:
42159 = 31 × 131 × 231 × 471
Step-2: Prime Factorization of 42167
Prime factors of 42167 are 149, 283. Prime factorization of 42167 in exponential form is:
42167 = 1491 × 2831
Step-3: Factors of 42159
List of positive integer factors of 42159 that divides 42159 without a remainder.
1, 3, 13, 23, 39, 47, 69, 141, 299, 611, 897, 1081, 1833, 3243, 14053
Step-4: Factors of 42167
List of positive integer factors of 42167 that divides 42159 without a remainder.
1, 149, 283
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42159 and 42167. The biggest common factor number is the GCF number.
So the greatest common factor 42159 and 42167 is 1.
Also check out the Least Common Multiple of 42159 and 42167
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