What is the Greatest Common Factor of 13609 and 13629?
Greatest common factor (GCF) of 13609 and 13629 is 1.
GCF(13609,13629) = 1
We will now calculate the prime factors of 13609 and 13629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13609 and 13629.
How to find the GCF of 13609 and 13629?
We will first find the prime factorization of 13609 and 13629. After we will calculate the factors of 13609 and 13629 and find the biggest common factor number .
Step-1: Prime Factorization of 13609
Prime factors of 13609 are 31, 439. Prime factorization of 13609 in exponential form is:
13609 = 311 × 4391
Step-2: Prime Factorization of 13629
Prime factors of 13629 are 3, 7, 11, 59. Prime factorization of 13629 in exponential form is:
13629 = 31 × 71 × 111 × 591
Step-3: Factors of 13609
List of positive integer factors of 13609 that divides 13609 without a remainder.
1, 31, 439
Step-4: Factors of 13629
List of positive integer factors of 13629 that divides 13609 without a remainder.
1, 3, 7, 11, 21, 33, 59, 77, 177, 231, 413, 649, 1239, 1947, 4543
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13609 and 13629. The biggest common factor number is the GCF number.
So the greatest common factor 13609 and 13629 is 1.
Also check out the Least Common Multiple of 13609 and 13629
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