What is the Greatest Common Factor of 42348 and 42362?
Greatest common factor (GCF) of 42348 and 42362 is 2.
GCF(42348,42362) = 2
We will now calculate the prime factors of 42348 and 42362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42348 and 42362.
How to find the GCF of 42348 and 42362?
We will first find the prime factorization of 42348 and 42362. After we will calculate the factors of 42348 and 42362 and find the biggest common factor number .
Step-1: Prime Factorization of 42348
Prime factors of 42348 are 2, 3, 3529. Prime factorization of 42348 in exponential form is:
42348 = 22 × 31 × 35291
Step-2: Prime Factorization of 42362
Prime factors of 42362 are 2, 59, 359. Prime factorization of 42362 in exponential form is:
42362 = 21 × 591 × 3591
Step-3: Factors of 42348
List of positive integer factors of 42348 that divides 42348 without a remainder.
1, 2, 3, 4, 6, 12, 3529, 7058, 10587, 14116, 21174
Step-4: Factors of 42362
List of positive integer factors of 42362 that divides 42348 without a remainder.
1, 2, 59, 118, 359, 718, 21181
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42348 and 42362. The biggest common factor number is the GCF number.
So the greatest common factor 42348 and 42362 is 2.
Also check out the Least Common Multiple of 42348 and 42362
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Related Greatest Common Factors of 42362
- GCF of 42362 and 42366
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