What is the Greatest Common Factor of 55836 and 55856?
Greatest common factor (GCF) of 55836 and 55856 is 4.
GCF(55836,55856) = 4
We will now calculate the prime factors of 55836 and 55856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55836 and 55856.
How to find the GCF of 55836 and 55856?
We will first find the prime factorization of 55836 and 55856. After we will calculate the factors of 55836 and 55856 and find the biggest common factor number .
Step-1: Prime Factorization of 55836
Prime factors of 55836 are 2, 3, 11, 47. Prime factorization of 55836 in exponential form is:
55836 = 22 × 33 × 111 × 471
Step-2: Prime Factorization of 55856
Prime factors of 55856 are 2, 3491. Prime factorization of 55856 in exponential form is:
55856 = 24 × 34911
Step-3: Factors of 55836
List of positive integer factors of 55836 that divides 55836 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 47, 54, 66, 94, 99, 108, 132, 141, 188, 198, 282, 297, 396, 423, 517, 564, 594, 846, 1034, 1188, 1269, 1551, 1692, 2068, 2538, 3102, 4653, 5076, 6204, 9306, 13959, 18612, 27918
Step-4: Factors of 55856
List of positive integer factors of 55856 that divides 55836 without a remainder.
1, 2, 4, 8, 16, 3491, 6982, 13964, 27928
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55836 and 55856. The biggest common factor number is the GCF number.
So the greatest common factor 55836 and 55856 is 4.
Also check out the Least Common Multiple of 55836 and 55856
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