What is the Greatest Common Factor of 42938 and 42949?
Greatest common factor (GCF) of 42938 and 42949 is 1.
GCF(42938,42949) = 1
We will now calculate the prime factors of 42938 and 42949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42938 and 42949.
How to find the GCF of 42938 and 42949?
We will first find the prime factorization of 42938 and 42949. After we will calculate the factors of 42938 and 42949 and find the biggest common factor number .
Step-1: Prime Factorization of 42938
Prime factors of 42938 are 2, 7, 3067. Prime factorization of 42938 in exponential form is:
42938 = 21 × 71 × 30671
Step-2: Prime Factorization of 42949
Prime factors of 42949 are 29, 1481. Prime factorization of 42949 in exponential form is:
42949 = 291 × 14811
Step-3: Factors of 42938
List of positive integer factors of 42938 that divides 42938 without a remainder.
1, 2, 7, 14, 3067, 6134, 21469
Step-4: Factors of 42949
List of positive integer factors of 42949 that divides 42938 without a remainder.
1, 29, 1481
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42938 and 42949. The biggest common factor number is the GCF number.
So the greatest common factor 42938 and 42949 is 1.
Also check out the Least Common Multiple of 42938 and 42949
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Related Greatest Common Factors of 42949
- GCF of 42949 and 42953
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- GCF of 42949 and 42965
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