What is the Greatest Common Factor of 48165 and 48174?
Greatest common factor (GCF) of 48165 and 48174 is 3.
GCF(48165,48174) = 3
We will now calculate the prime factors of 48165 and 48174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48165 and 48174.
How to find the GCF of 48165 and 48174?
We will first find the prime factorization of 48165 and 48174. After we will calculate the factors of 48165 and 48174 and find the biggest common factor number .
Step-1: Prime Factorization of 48165
Prime factors of 48165 are 3, 5, 13, 19. Prime factorization of 48165 in exponential form is:
48165 = 31 × 51 × 132 × 191
Step-2: Prime Factorization of 48174
Prime factors of 48174 are 2, 3, 7, 31, 37. Prime factorization of 48174 in exponential form is:
48174 = 21 × 31 × 71 × 311 × 371
Step-3: Factors of 48165
List of positive integer factors of 48165 that divides 48165 without a remainder.
1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 169, 195, 247, 285, 507, 741, 845, 1235, 2535, 3211, 3705, 9633, 16055
Step-4: Factors of 48174
List of positive integer factors of 48174 that divides 48165 without a remainder.
1, 2, 3, 6, 7, 14, 21, 31, 37, 42, 62, 74, 93, 111, 186, 217, 222, 259, 434, 518, 651, 777, 1147, 1302, 1554, 2294, 3441, 6882, 8029, 16058, 24087
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 48165 and 48174. The biggest common factor number is the GCF number.
So the greatest common factor 48165 and 48174 is 3.
Also check out the Least Common Multiple of 48165 and 48174
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