What is the Greatest Common Factor of 42237 and 42254?
Greatest common factor (GCF) of 42237 and 42254 is 1.
GCF(42237,42254) = 1
We will now calculate the prime factors of 42237 and 42254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42237 and 42254.
How to find the GCF of 42237 and 42254?
We will first find the prime factorization of 42237 and 42254. After we will calculate the factors of 42237 and 42254 and find the biggest common factor number .
Step-1: Prime Factorization of 42237
Prime factors of 42237 are 3, 13, 19. Prime factorization of 42237 in exponential form is:
42237 = 32 × 131 × 192
Step-2: Prime Factorization of 42254
Prime factors of 42254 are 2, 37, 571. Prime factorization of 42254 in exponential form is:
42254 = 21 × 371 × 5711
Step-3: Factors of 42237
List of positive integer factors of 42237 that divides 42237 without a remainder.
1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 361, 741, 1083, 2223, 3249, 4693, 14079
Step-4: Factors of 42254
List of positive integer factors of 42254 that divides 42237 without a remainder.
1, 2, 37, 74, 571, 1142, 21127
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42237 and 42254. The biggest common factor number is the GCF number.
So the greatest common factor 42237 and 42254 is 1.
Also check out the Least Common Multiple of 42237 and 42254
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