What is the Greatest Common Factor of 49240 and 49259?
Greatest common factor (GCF) of 49240 and 49259 is 1.
GCF(49240,49259) = 1
We will now calculate the prime factors of 49240 and 49259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49240 and 49259.
How to find the GCF of 49240 and 49259?
We will first find the prime factorization of 49240 and 49259. After we will calculate the factors of 49240 and 49259 and find the biggest common factor number .
Step-1: Prime Factorization of 49240
Prime factors of 49240 are 2, 5, 1231. Prime factorization of 49240 in exponential form is:
49240 = 23 × 51 × 12311
Step-2: Prime Factorization of 49259
Prime factors of 49259 are 7, 31, 227. Prime factorization of 49259 in exponential form is:
49259 = 71 × 311 × 2271
Step-3: Factors of 49240
List of positive integer factors of 49240 that divides 49240 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 1231, 2462, 4924, 6155, 9848, 12310, 24620
Step-4: Factors of 49259
List of positive integer factors of 49259 that divides 49240 without a remainder.
1, 7, 31, 217, 227, 1589, 7037
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49240 and 49259. The biggest common factor number is the GCF number.
So the greatest common factor 49240 and 49259 is 1.
Also check out the Least Common Multiple of 49240 and 49259
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