What is the Greatest Common Factor of 49080 and 49094?
Greatest common factor (GCF) of 49080 and 49094 is 2.
GCF(49080,49094) = 2
We will now calculate the prime factors of 49080 and 49094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49080 and 49094.
How to find the GCF of 49080 and 49094?
We will first find the prime factorization of 49080 and 49094. After we will calculate the factors of 49080 and 49094 and find the biggest common factor number .
Step-1: Prime Factorization of 49080
Prime factors of 49080 are 2, 3, 5, 409. Prime factorization of 49080 in exponential form is:
49080 = 23 × 31 × 51 × 4091
Step-2: Prime Factorization of 49094
Prime factors of 49094 are 2, 24547. Prime factorization of 49094 in exponential form is:
49094 = 21 × 245471
Step-3: Factors of 49080
List of positive integer factors of 49080 that divides 49080 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 409, 818, 1227, 1636, 2045, 2454, 3272, 4090, 4908, 6135, 8180, 9816, 12270, 16360, 24540
Step-4: Factors of 49094
List of positive integer factors of 49094 that divides 49080 without a remainder.
1, 2, 24547
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49080 and 49094. The biggest common factor number is the GCF number.
So the greatest common factor 49080 and 49094 is 2.
Also check out the Least Common Multiple of 49080 and 49094
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