What is the Greatest Common Factor of 93840 and 93857?
Greatest common factor (GCF) of 93840 and 93857 is 17.
GCF(93840,93857) = 17
We will now calculate the prime factors of 93840 and 93857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93840 and 93857.
How to find the GCF of 93840 and 93857?
We will first find the prime factorization of 93840 and 93857. After we will calculate the factors of 93840 and 93857 and find the biggest common factor number .
Step-1: Prime Factorization of 93840
Prime factors of 93840 are 2, 3, 5, 17, 23. Prime factorization of 93840 in exponential form is:
93840 = 24 × 31 × 51 × 171 × 231
Step-2: Prime Factorization of 93857
Prime factors of 93857 are 17, 5521. Prime factorization of 93857 in exponential form is:
93857 = 171 × 55211
Step-3: Factors of 93840
List of positive integer factors of 93840 that divides 93840 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 23, 24, 30, 34, 40, 46, 48, 51, 60, 68, 69, 80, 85, 92, 102, 115, 120, 136, 138, 170, 184, 204, 230, 240, 255, 272, 276, 340, 345, 368, 391, 408, 460, 510, 552, 680, 690, 782, 816, 920, 1020, 1104, 1173, 1360, 1380, 1564, 1840, 1955, 2040, 2346, 2760, 3128, 3910, 4080, 4692, 5520, 5865, 6256, 7820, 9384, 11730, 15640, 18768, 23460, 31280, 46920
Step-4: Factors of 93857
List of positive integer factors of 93857 that divides 93840 without a remainder.
1, 17, 5521
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 93840 and 93857. The biggest common factor number is the GCF number.
So the greatest common factor 93840 and 93857 is 17.
Also check out the Least Common Multiple of 93840 and 93857
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