What is the Greatest Common Factor of 8124 and 8135?
Greatest common factor (GCF) of 8124 and 8135 is 1.
GCF(8124,8135) = 1
We will now calculate the prime factors of 8124 and 8135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8124 and 8135.
How to find the GCF of 8124 and 8135?
We will first find the prime factorization of 8124 and 8135. After we will calculate the factors of 8124 and 8135 and find the biggest common factor number .
Step-1: Prime Factorization of 8124
Prime factors of 8124 are 2, 3, 677. Prime factorization of 8124 in exponential form is:
8124 = 22 × 31 × 6771
Step-2: Prime Factorization of 8135
Prime factors of 8135 are 5, 1627. Prime factorization of 8135 in exponential form is:
8135 = 51 × 16271
Step-3: Factors of 8124
List of positive integer factors of 8124 that divides 8124 without a remainder.
1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062
Step-4: Factors of 8135
List of positive integer factors of 8135 that divides 8124 without a remainder.
1, 5, 1627
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8124 and 8135. The biggest common factor number is the GCF number.
So the greatest common factor 8124 and 8135 is 1.
Also check out the Least Common Multiple of 8124 and 8135
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