What is the Greatest Common Factor of 49046 and 49058?
Greatest common factor (GCF) of 49046 and 49058 is 2.
GCF(49046,49058) = 2
We will now calculate the prime factors of 49046 and 49058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49046 and 49058.
How to find the GCF of 49046 and 49058?
We will first find the prime factorization of 49046 and 49058. After we will calculate the factors of 49046 and 49058 and find the biggest common factor number .
Step-1: Prime Factorization of 49046
Prime factors of 49046 are 2, 137, 179. Prime factorization of 49046 in exponential form is:
49046 = 21 × 1371 × 1791
Step-2: Prime Factorization of 49058
Prime factors of 49058 are 2, 19, 1291. Prime factorization of 49058 in exponential form is:
49058 = 21 × 191 × 12911
Step-3: Factors of 49046
List of positive integer factors of 49046 that divides 49046 without a remainder.
1, 2, 137, 179, 274, 358, 24523
Step-4: Factors of 49058
List of positive integer factors of 49058 that divides 49046 without a remainder.
1, 2, 19, 38, 1291, 2582, 24529
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49046 and 49058. The biggest common factor number is the GCF number.
So the greatest common factor 49046 and 49058 is 2.
Also check out the Least Common Multiple of 49046 and 49058
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