What is the Greatest Common Factor of 13362 and 13378?
Greatest common factor (GCF) of 13362 and 13378 is 2.
GCF(13362,13378) = 2
We will now calculate the prime factors of 13362 and 13378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13362 and 13378.
How to find the GCF of 13362 and 13378?
We will first find the prime factorization of 13362 and 13378. After we will calculate the factors of 13362 and 13378 and find the biggest common factor number .
Step-1: Prime Factorization of 13362
Prime factors of 13362 are 2, 3, 17, 131. Prime factorization of 13362 in exponential form is:
13362 = 21 × 31 × 171 × 1311
Step-2: Prime Factorization of 13378
Prime factors of 13378 are 2, 6689. Prime factorization of 13378 in exponential form is:
13378 = 21 × 66891
Step-3: Factors of 13362
List of positive integer factors of 13362 that divides 13362 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102, 131, 262, 393, 786, 2227, 4454, 6681
Step-4: Factors of 13378
List of positive integer factors of 13378 that divides 13362 without a remainder.
1, 2, 6689
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13362 and 13378. The biggest common factor number is the GCF number.
So the greatest common factor 13362 and 13378 is 2.
Also check out the Least Common Multiple of 13362 and 13378
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