What is the Greatest Common Factor of 69667 and 69684?
Greatest common factor (GCF) of 69667 and 69684 is 1.
GCF(69667,69684) = 1
We will now calculate the prime factors of 69667 and 69684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69667 and 69684.
How to find the GCF of 69667 and 69684?
We will first find the prime factorization of 69667 and 69684. After we will calculate the factors of 69667 and 69684 and find the biggest common factor number .
Step-1: Prime Factorization of 69667
Prime factors of 69667 are 13, 23, 233. Prime factorization of 69667 in exponential form is:
69667 = 131 × 231 × 2331
Step-2: Prime Factorization of 69684
Prime factors of 69684 are 2, 3, 5807. Prime factorization of 69684 in exponential form is:
69684 = 22 × 31 × 58071
Step-3: Factors of 69667
List of positive integer factors of 69667 that divides 69667 without a remainder.
1, 13, 23, 233, 299, 3029, 5359
Step-4: Factors of 69684
List of positive integer factors of 69684 that divides 69667 without a remainder.
1, 2, 3, 4, 6, 12, 5807, 11614, 17421, 23228, 34842
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69667 and 69684. The biggest common factor number is the GCF number.
So the greatest common factor 69667 and 69684 is 1.
Also check out the Least Common Multiple of 69667 and 69684
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