What is the Greatest Common Factor of 55638 and 55648?
Greatest common factor (GCF) of 55638 and 55648 is 2.
GCF(55638,55648) = 2
We will now calculate the prime factors of 55638 and 55648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55638 and 55648.
How to find the GCF of 55638 and 55648?
We will first find the prime factorization of 55638 and 55648. After we will calculate the factors of 55638 and 55648 and find the biggest common factor number .
Step-1: Prime Factorization of 55638
Prime factors of 55638 are 2, 3, 11, 281. Prime factorization of 55638 in exponential form is:
55638 = 21 × 32 × 111 × 2811
Step-2: Prime Factorization of 55648
Prime factors of 55648 are 2, 37, 47. Prime factorization of 55648 in exponential form is:
55648 = 25 × 371 × 471
Step-3: Factors of 55638
List of positive integer factors of 55638 that divides 55638 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 281, 562, 843, 1686, 2529, 3091, 5058, 6182, 9273, 18546, 27819
Step-4: Factors of 55648
List of positive integer factors of 55648 that divides 55638 without a remainder.
1, 2, 4, 8, 16, 32, 37, 47, 74, 94, 148, 188, 296, 376, 592, 752, 1184, 1504, 1739, 3478, 6956, 13912, 27824
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55638 and 55648. The biggest common factor number is the GCF number.
So the greatest common factor 55638 and 55648 is 2.
Also check out the Least Common Multiple of 55638 and 55648
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