What is the Greatest Common Factor of 55155 and 55167?
Greatest common factor (GCF) of 55155 and 55167 is 3.
GCF(55155,55167) = 3
We will now calculate the prime factors of 55155 and 55167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55155 and 55167.
How to find the GCF of 55155 and 55167?
We will first find the prime factorization of 55155 and 55167. After we will calculate the factors of 55155 and 55167 and find the biggest common factor number .
Step-1: Prime Factorization of 55155
Prime factors of 55155 are 3, 5, 3677. Prime factorization of 55155 in exponential form is:
55155 = 31 × 51 × 36771
Step-2: Prime Factorization of 55167
Prime factors of 55167 are 3, 7, 37, 71. Prime factorization of 55167 in exponential form is:
55167 = 31 × 71 × 371 × 711
Step-3: Factors of 55155
List of positive integer factors of 55155 that divides 55155 without a remainder.
1, 3, 5, 15, 3677, 11031, 18385
Step-4: Factors of 55167
List of positive integer factors of 55167 that divides 55155 without a remainder.
1, 3, 7, 21, 37, 71, 111, 213, 259, 497, 777, 1491, 2627, 7881, 18389
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55155 and 55167. The biggest common factor number is the GCF number.
So the greatest common factor 55155 and 55167 is 3.
Also check out the Least Common Multiple of 55155 and 55167
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