What is the Greatest Common Factor of 58140 and 58146?
Greatest common factor (GCF) of 58140 and 58146 is 6.
GCF(58140,58146) = 6
We will now calculate the prime factors of 58140 and 58146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58140 and 58146.
How to find the GCF of 58140 and 58146?
We will first find the prime factorization of 58140 and 58146. After we will calculate the factors of 58140 and 58146 and find the biggest common factor number .
Step-1: Prime Factorization of 58140
Prime factors of 58140 are 2, 3, 5, 17, 19. Prime factorization of 58140 in exponential form is:
58140 = 22 × 32 × 51 × 171 × 191
Step-2: Prime Factorization of 58146
Prime factors of 58146 are 2, 3, 11, 881. Prime factorization of 58146 in exponential form is:
58146 = 21 × 31 × 111 × 8811
Step-3: Factors of 58140
List of positive integer factors of 58140 that divides 58140 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 19, 20, 30, 34, 36, 38, 45, 51, 57, 60, 68, 76, 85, 90, 95, 102, 114, 153, 170, 171, 180, 190, 204, 228, 255, 285, 306, 323, 340, 342, 380, 510, 570, 612, 646, 684, 765, 855, 969, 1020, 1140, 1292, 1530, 1615, 1710, 1938, 2907, 3060, 3230, 3420, 3876, 4845, 5814, 6460, 9690, 11628, 14535, 19380, 29070
Step-4: Factors of 58146
List of positive integer factors of 58146 that divides 58140 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 881, 1762, 2643, 5286, 9691, 19382, 29073
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58140 and 58146. The biggest common factor number is the GCF number.
So the greatest common factor 58140 and 58146 is 6.
Also check out the Least Common Multiple of 58140 and 58146
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