What is the Greatest Common Factor of 8370 and 8382?
Greatest common factor (GCF) of 8370 and 8382 is 6.
GCF(8370,8382) = 6
We will now calculate the prime factors of 8370 and 8382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8370 and 8382.
How to find the GCF of 8370 and 8382?
We will first find the prime factorization of 8370 and 8382. After we will calculate the factors of 8370 and 8382 and find the biggest common factor number .
Step-1: Prime Factorization of 8370
Prime factors of 8370 are 2, 3, 5, 31. Prime factorization of 8370 in exponential form is:
8370 = 21 × 33 × 51 × 311
Step-2: Prime Factorization of 8382
Prime factors of 8382 are 2, 3, 11, 127. Prime factorization of 8382 in exponential form is:
8382 = 21 × 31 × 111 × 1271
Step-3: Factors of 8370
List of positive integer factors of 8370 that divides 8370 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185
Step-4: Factors of 8382
List of positive integer factors of 8382 that divides 8370 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8370 and 8382. The biggest common factor number is the GCF number.
So the greatest common factor 8370 and 8382 is 6.
Also check out the Least Common Multiple of 8370 and 8382
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