What is the Greatest Common Factor of 67135 and 67145?
Greatest common factor (GCF) of 67135 and 67145 is 5.
GCF(67135,67145) = 5
We will now calculate the prime factors of 67135 and 67145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67135 and 67145.
How to find the GCF of 67135 and 67145?
We will first find the prime factorization of 67135 and 67145. After we will calculate the factors of 67135 and 67145 and find the biggest common factor number .
Step-1: Prime Factorization of 67135
Prime factors of 67135 are 5, 29, 463. Prime factorization of 67135 in exponential form is:
67135 = 51 × 291 × 4631
Step-2: Prime Factorization of 67145
Prime factors of 67145 are 5, 13, 1033. Prime factorization of 67145 in exponential form is:
67145 = 51 × 131 × 10331
Step-3: Factors of 67135
List of positive integer factors of 67135 that divides 67135 without a remainder.
1, 5, 29, 145, 463, 2315, 13427
Step-4: Factors of 67145
List of positive integer factors of 67145 that divides 67135 without a remainder.
1, 5, 13, 65, 1033, 5165, 13429
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67135 and 67145. The biggest common factor number is the GCF number.
So the greatest common factor 67135 and 67145 is 5.
Also check out the Least Common Multiple of 67135 and 67145
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