What is the Greatest Common Factor of 1388 and 1395?
Greatest common factor (GCF) of 1388 and 1395 is 1.
GCF(1388,1395) = 1
We will now calculate the prime factors of 1388 and 1395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1388 and 1395.
How to find the GCF of 1388 and 1395?
We will first find the prime factorization of 1388 and 1395. After we will calculate the factors of 1388 and 1395 and find the biggest common factor number .
Step-1: Prime Factorization of 1388
Prime factors of 1388 are 2, 347. Prime factorization of 1388 in exponential form is:
1388 = 22 × 3471
Step-2: Prime Factorization of 1395
Prime factors of 1395 are 3, 5, 31. Prime factorization of 1395 in exponential form is:
1395 = 32 × 51 × 311
Step-3: Factors of 1388
List of positive integer factors of 1388 that divides 1388 without a remainder.
1, 2, 4, 347, 694
Step-4: Factors of 1395
List of positive integer factors of 1395 that divides 1388 without a remainder.
1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1388 and 1395. The biggest common factor number is the GCF number.
So the greatest common factor 1388 and 1395 is 1.
Also check out the Least Common Multiple of 1388 and 1395
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