What is the Greatest Common Factor of 55120 and 55126?
Greatest common factor (GCF) of 55120 and 55126 is 2.
GCF(55120,55126) = 2
We will now calculate the prime factors of 55120 and 55126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55120 and 55126.
How to find the GCF of 55120 and 55126?
We will first find the prime factorization of 55120 and 55126. After we will calculate the factors of 55120 and 55126 and find the biggest common factor number .
Step-1: Prime Factorization of 55120
Prime factors of 55120 are 2, 5, 13, 53. Prime factorization of 55120 in exponential form is:
55120 = 24 × 51 × 131 × 531
Step-2: Prime Factorization of 55126
Prime factors of 55126 are 2, 43, 641. Prime factorization of 55126 in exponential form is:
55126 = 21 × 431 × 6411
Step-3: Factors of 55120
List of positive integer factors of 55120 that divides 55120 without a remainder.
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 53, 65, 80, 104, 106, 130, 208, 212, 260, 265, 424, 520, 530, 689, 848, 1040, 1060, 1378, 2120, 2756, 3445, 4240, 5512, 6890, 11024, 13780, 27560
Step-4: Factors of 55126
List of positive integer factors of 55126 that divides 55120 without a remainder.
1, 2, 43, 86, 641, 1282, 27563
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55120 and 55126. The biggest common factor number is the GCF number.
So the greatest common factor 55120 and 55126 is 2.
Also check out the Least Common Multiple of 55120 and 55126
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