What is the Greatest Common Factor of 55829 and 55848?
Greatest common factor (GCF) of 55829 and 55848 is 1.
GCF(55829,55848) = 1
We will now calculate the prime factors of 55829 and 55848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55829 and 55848.
How to find the GCF of 55829 and 55848?
We will first find the prime factorization of 55829 and 55848. After we will calculate the factors of 55829 and 55848 and find the biggest common factor number .
Step-1: Prime Factorization of 55829
Prime factors of 55829 are 55829. Prime factorization of 55829 in exponential form is:
55829 = 558291
Step-2: Prime Factorization of 55848
Prime factors of 55848 are 2, 3, 13, 179. Prime factorization of 55848 in exponential form is:
55848 = 23 × 31 × 131 × 1791
Step-3: Factors of 55829
List of positive integer factors of 55829 that divides 55829 without a remainder.
1
Step-4: Factors of 55848
List of positive integer factors of 55848 that divides 55829 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 179, 312, 358, 537, 716, 1074, 1432, 2148, 2327, 4296, 4654, 6981, 9308, 13962, 18616, 27924
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55829 and 55848. The biggest common factor number is the GCF number.
So the greatest common factor 55829 and 55848 is 1.
Also check out the Least Common Multiple of 55829 and 55848
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