What is the Greatest Common Factor of 49944 and 49958?
Greatest common factor (GCF) of 49944 and 49958 is 2.
GCF(49944,49958) = 2
We will now calculate the prime factors of 49944 and 49958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49944 and 49958.
How to find the GCF of 49944 and 49958?
We will first find the prime factorization of 49944 and 49958. After we will calculate the factors of 49944 and 49958 and find the biggest common factor number .
Step-1: Prime Factorization of 49944
Prime factors of 49944 are 2, 3, 2081. Prime factorization of 49944 in exponential form is:
49944 = 23 × 31 × 20811
Step-2: Prime Factorization of 49958
Prime factors of 49958 are 2, 24979. Prime factorization of 49958 in exponential form is:
49958 = 21 × 249791
Step-3: Factors of 49944
List of positive integer factors of 49944 that divides 49944 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 2081, 4162, 6243, 8324, 12486, 16648, 24972
Step-4: Factors of 49958
List of positive integer factors of 49958 that divides 49944 without a remainder.
1, 2, 24979
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49944 and 49958. The biggest common factor number is the GCF number.
So the greatest common factor 49944 and 49958 is 2.
Also check out the Least Common Multiple of 49944 and 49958
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