What is the Greatest Common Factor of 8359 and 8370?
Greatest common factor (GCF) of 8359 and 8370 is 1.
GCF(8359,8370) = 1
We will now calculate the prime factors of 8359 and 8370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8359 and 8370.
How to find the GCF of 8359 and 8370?
We will first find the prime factorization of 8359 and 8370. After we will calculate the factors of 8359 and 8370 and find the biggest common factor number .
Step-1: Prime Factorization of 8359
Prime factors of 8359 are 13, 643. Prime factorization of 8359 in exponential form is:
8359 = 131 × 6431
Step-2: 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-3: Factors of 8359
List of positive integer factors of 8359 that divides 8359 without a remainder.
1, 13, 643
Step-4: Factors of 8370
List of positive integer factors of 8370 that divides 8359 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8359 and 8370. The biggest common factor number is the GCF number.
So the greatest common factor 8359 and 8370 is 1.
Also check out the Least Common Multiple of 8359 and 8370
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