What is the Greatest Common Factor of 55640 and 55658?
Greatest common factor (GCF) of 55640 and 55658 is 2.
GCF(55640,55658) = 2
We will now calculate the prime factors of 55640 and 55658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55640 and 55658.
How to find the GCF of 55640 and 55658?
We will first find the prime factorization of 55640 and 55658. After we will calculate the factors of 55640 and 55658 and find the biggest common factor number .
Step-1: Prime Factorization of 55640
Prime factors of 55640 are 2, 5, 13, 107. Prime factorization of 55640 in exponential form is:
55640 = 23 × 51 × 131 × 1071
Step-2: Prime Factorization of 55658
Prime factors of 55658 are 2, 17, 1637. Prime factorization of 55658 in exponential form is:
55658 = 21 × 171 × 16371
Step-3: Factors of 55640
List of positive integer factors of 55640 that divides 55640 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 107, 130, 214, 260, 428, 520, 535, 856, 1070, 1391, 2140, 2782, 4280, 5564, 6955, 11128, 13910, 27820
Step-4: Factors of 55658
List of positive integer factors of 55658 that divides 55640 without a remainder.
1, 2, 17, 34, 1637, 3274, 27829
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55640 and 55658. The biggest common factor number is the GCF number.
So the greatest common factor 55640 and 55658 is 2.
Also check out the Least Common Multiple of 55640 and 55658
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