What is the Greatest Common Factor of 48891 and 48906?
Greatest common factor (GCF) of 48891 and 48906 is 3.
GCF(48891,48906) = 3
We will now calculate the prime factors of 48891 and 48906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48891 and 48906.
How to find the GCF of 48891 and 48906?
We will first find the prime factorization of 48891 and 48906. After we will calculate the factors of 48891 and 48906 and find the biggest common factor number .
Step-1: Prime Factorization of 48891
Prime factors of 48891 are 3, 43, 379. Prime factorization of 48891 in exponential form is:
48891 = 31 × 431 × 3791
Step-2: Prime Factorization of 48906
Prime factors of 48906 are 2, 3, 11, 13, 19. Prime factorization of 48906 in exponential form is:
48906 = 21 × 32 × 111 × 131 × 191
Step-3: Factors of 48891
List of positive integer factors of 48891 that divides 48891 without a remainder.
1, 3, 43, 129, 379, 1137, 16297
Step-4: Factors of 48906
List of positive integer factors of 48906 that divides 48891 without a remainder.
1, 2, 3, 6, 9, 11, 13, 18, 19, 22, 26, 33, 38, 39, 57, 66, 78, 99, 114, 117, 143, 171, 198, 209, 234, 247, 286, 342, 418, 429, 494, 627, 741, 858, 1254, 1287, 1482, 1881, 2223, 2574, 2717, 3762, 4446, 5434, 8151, 16302, 24453
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 48891 and 48906. The biggest common factor number is the GCF number.
So the greatest common factor 48891 and 48906 is 3.
Also check out the Least Common Multiple of 48891 and 48906
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