What is the Greatest Common Factor of 13125 and 13129?
Greatest common factor (GCF) of 13125 and 13129 is 1.
GCF(13125,13129) = 1
We will now calculate the prime factors of 13125 and 13129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13125 and 13129.
How to find the GCF of 13125 and 13129?
We will first find the prime factorization of 13125 and 13129. After we will calculate the factors of 13125 and 13129 and find the biggest common factor number .
Step-1: Prime Factorization of 13125
Prime factors of 13125 are 3, 5, 7. Prime factorization of 13125 in exponential form is:
13125 = 31 × 54 × 71
Step-2: Prime Factorization of 13129
Prime factors of 13129 are 19, 691. Prime factorization of 13129 in exponential form is:
13129 = 191 × 6911
Step-3: Factors of 13125
List of positive integer factors of 13125 that divides 13125 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 4375
Step-4: Factors of 13129
List of positive integer factors of 13129 that divides 13125 without a remainder.
1, 19, 691
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13125 and 13129. The biggest common factor number is the GCF number.
So the greatest common factor 13125 and 13129 is 1.
Also check out the Least Common Multiple of 13125 and 13129
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