What is the Greatest Common Factor of 13113 and 13120?
Greatest common factor (GCF) of 13113 and 13120 is 1.
GCF(13113,13120) = 1
We will now calculate the prime factors of 13113 and 13120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13113 and 13120.
How to find the GCF of 13113 and 13120?
We will first find the prime factorization of 13113 and 13120. After we will calculate the factors of 13113 and 13120 and find the biggest common factor number .
Step-1: Prime Factorization of 13113
Prime factors of 13113 are 3, 31, 47. Prime factorization of 13113 in exponential form is:
13113 = 32 × 311 × 471
Step-2: Prime Factorization of 13120
Prime factors of 13120 are 2, 5, 41. Prime factorization of 13120 in exponential form is:
13120 = 26 × 51 × 411
Step-3: Factors of 13113
List of positive integer factors of 13113 that divides 13113 without a remainder.
1, 3, 9, 31, 47, 93, 141, 279, 423, 1457, 4371
Step-4: Factors of 13120
List of positive integer factors of 13120 that divides 13113 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 160, 164, 205, 320, 328, 410, 656, 820, 1312, 1640, 2624, 3280, 6560
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13113 and 13120. The biggest common factor number is the GCF number.
So the greatest common factor 13113 and 13120 is 1.
Also check out the Least Common Multiple of 13113 and 13120
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