What is the Greatest Common Factor of 42330 and 42342?
Greatest common factor (GCF) of 42330 and 42342 is 6.
GCF(42330,42342) = 6
We will now calculate the prime factors of 42330 and 42342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42330 and 42342.
How to find the GCF of 42330 and 42342?
We will first find the prime factorization of 42330 and 42342. After we will calculate the factors of 42330 and 42342 and find the biggest common factor number .
Step-1: Prime Factorization of 42330
Prime factors of 42330 are 2, 3, 5, 17, 83. Prime factorization of 42330 in exponential form is:
42330 = 21 × 31 × 51 × 171 × 831
Step-2: Prime Factorization of 42342
Prime factors of 42342 are 2, 3, 7057. Prime factorization of 42342 in exponential form is:
42342 = 21 × 31 × 70571
Step-3: Factors of 42330
List of positive integer factors of 42330 that divides 42330 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 83, 85, 102, 166, 170, 249, 255, 415, 498, 510, 830, 1245, 1411, 2490, 2822, 4233, 7055, 8466, 14110, 21165
Step-4: Factors of 42342
List of positive integer factors of 42342 that divides 42330 without a remainder.
1, 2, 3, 6, 7057, 14114, 21171
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42330 and 42342. The biggest common factor number is the GCF number.
So the greatest common factor 42330 and 42342 is 6.
Also check out the Least Common Multiple of 42330 and 42342
Related Greatest Common Factors of 42330
- GCF of 42330 and 42334
- GCF of 42330 and 42335
- GCF of 42330 and 42336
- GCF of 42330 and 42337
- GCF of 42330 and 42338
- GCF of 42330 and 42339
- GCF of 42330 and 42340
- GCF of 42330 and 42341
- GCF of 42330 and 42342
- GCF of 42330 and 42343
- GCF of 42330 and 42344
- GCF of 42330 and 42345
- GCF of 42330 and 42346
- GCF of 42330 and 42347
- GCF of 42330 and 42348
- GCF of 42330 and 42349
- GCF of 42330 and 42350
Related Greatest Common Factors of 42342
- GCF of 42342 and 42346
- GCF of 42342 and 42347
- GCF of 42342 and 42348
- GCF of 42342 and 42349
- GCF of 42342 and 42350
- GCF of 42342 and 42351
- GCF of 42342 and 42352
- GCF of 42342 and 42353
- GCF of 42342 and 42354
- GCF of 42342 and 42355
- GCF of 42342 and 42356
- GCF of 42342 and 42357
- GCF of 42342 and 42358
- GCF of 42342 and 42359
- GCF of 42342 and 42360
- GCF of 42342 and 42361
- GCF of 42342 and 42362