What is the Greatest Common Factor of 18415 and 18435?
Greatest common factor (GCF) of 18415 and 18435 is 5.
GCF(18415,18435) = 5
We will now calculate the prime factors of 18415 and 18435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18415 and 18435.
How to find the GCF of 18415 and 18435?
We will first find the prime factorization of 18415 and 18435. After we will calculate the factors of 18415 and 18435 and find the biggest common factor number .
Step-1: Prime Factorization of 18415
Prime factors of 18415 are 5, 29, 127. Prime factorization of 18415 in exponential form is:
18415 = 51 × 291 × 1271
Step-2: Prime Factorization of 18435
Prime factors of 18435 are 3, 5, 1229. Prime factorization of 18435 in exponential form is:
18435 = 31 × 51 × 12291
Step-3: Factors of 18415
List of positive integer factors of 18415 that divides 18415 without a remainder.
1, 5, 29, 127, 145, 635, 3683
Step-4: Factors of 18435
List of positive integer factors of 18435 that divides 18415 without a remainder.
1, 3, 5, 15, 1229, 3687, 6145
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18415 and 18435. The biggest common factor number is the GCF number.
So the greatest common factor 18415 and 18435 is 5.
Also check out the Least Common Multiple of 18415 and 18435
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