What is the Greatest Common Factor of 67085 and 67092?
Greatest common factor (GCF) of 67085 and 67092 is 1.
GCF(67085,67092) = 1
We will now calculate the prime factors of 67085 and 67092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67085 and 67092.
How to find the GCF of 67085 and 67092?
We will first find the prime factorization of 67085 and 67092. After we will calculate the factors of 67085 and 67092 and find the biggest common factor number .
Step-1: Prime Factorization of 67085
Prime factors of 67085 are 5, 13417. Prime factorization of 67085 in exponential form is:
67085 = 51 × 134171
Step-2: Prime Factorization of 67092
Prime factors of 67092 are 2, 3, 5591. Prime factorization of 67092 in exponential form is:
67092 = 22 × 31 × 55911
Step-3: Factors of 67085
List of positive integer factors of 67085 that divides 67085 without a remainder.
1, 5, 13417
Step-4: Factors of 67092
List of positive integer factors of 67092 that divides 67085 without a remainder.
1, 2, 3, 4, 6, 12, 5591, 11182, 16773, 22364, 33546
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67085 and 67092. The biggest common factor number is the GCF number.
So the greatest common factor 67085 and 67092 is 1.
Also check out the Least Common Multiple of 67085 and 67092
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