What is the Greatest Common Factor of 13725 and 13729?
Greatest common factor (GCF) of 13725 and 13729 is 1.
GCF(13725,13729) = 1
We will now calculate the prime factors of 13725 and 13729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13725 and 13729.
How to find the GCF of 13725 and 13729?
We will first find the prime factorization of 13725 and 13729. After we will calculate the factors of 13725 and 13729 and find the biggest common factor number .
Step-1: Prime Factorization of 13725
Prime factors of 13725 are 3, 5, 61. Prime factorization of 13725 in exponential form is:
13725 = 32 × 52 × 611
Step-2: Prime Factorization of 13729
Prime factors of 13729 are 13729. Prime factorization of 13729 in exponential form is:
13729 = 137291
Step-3: Factors of 13725
List of positive integer factors of 13725 that divides 13725 without a remainder.
1, 3, 5, 9, 15, 25, 45, 61, 75, 183, 225, 305, 549, 915, 1525, 2745, 4575
Step-4: Factors of 13729
List of positive integer factors of 13729 that divides 13725 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13725 and 13729. The biggest common factor number is the GCF number.
So the greatest common factor 13725 and 13729 is 1.
Also check out the Least Common Multiple of 13725 and 13729
Related Greatest Common Factors of 13725
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Related Greatest Common Factors of 13729
- GCF of 13729 and 13733
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