What is the Greatest Common Factor of 55034 and 55044?
Greatest common factor (GCF) of 55034 and 55044 is 2.
GCF(55034,55044) = 2
We will now calculate the prime factors of 55034 and 55044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55034 and 55044.
How to find the GCF of 55034 and 55044?
We will first find the prime factorization of 55034 and 55044. After we will calculate the factors of 55034 and 55044 and find the biggest common factor number .
Step-1: Prime Factorization of 55034
Prime factors of 55034 are 2, 7, 3931. Prime factorization of 55034 in exponential form is:
55034 = 21 × 71 × 39311
Step-2: Prime Factorization of 55044
Prime factors of 55044 are 2, 3, 11, 139. Prime factorization of 55044 in exponential form is:
55044 = 22 × 32 × 111 × 1391
Step-3: Factors of 55034
List of positive integer factors of 55034 that divides 55034 without a remainder.
1, 2, 7, 14, 3931, 7862, 27517
Step-4: Factors of 55044
List of positive integer factors of 55044 that divides 55034 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 139, 198, 278, 396, 417, 556, 834, 1251, 1529, 1668, 2502, 3058, 4587, 5004, 6116, 9174, 13761, 18348, 27522
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55034 and 55044. The biggest common factor number is the GCF number.
So the greatest common factor 55034 and 55044 is 2.
Also check out the Least Common Multiple of 55034 and 55044
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