What is the Greatest Common Factor of 16348 and 16368?
Greatest common factor (GCF) of 16348 and 16368 is 4.
GCF(16348,16368) = 4
We will now calculate the prime factors of 16348 and 16368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16348 and 16368.
How to find the GCF of 16348 and 16368?
We will first find the prime factorization of 16348 and 16368. After we will calculate the factors of 16348 and 16368 and find the biggest common factor number .
Step-1: Prime Factorization of 16348
Prime factors of 16348 are 2, 61, 67. Prime factorization of 16348 in exponential form is:
16348 = 22 × 611 × 671
Step-2: Prime Factorization of 16368
Prime factors of 16368 are 2, 3, 11, 31. Prime factorization of 16368 in exponential form is:
16368 = 24 × 31 × 111 × 311
Step-3: Factors of 16348
List of positive integer factors of 16348 that divides 16348 without a remainder.
1, 2, 4, 61, 67, 122, 134, 244, 268, 4087, 8174
Step-4: Factors of 16368
List of positive integer factors of 16368 that divides 16348 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 31, 33, 44, 48, 62, 66, 88, 93, 124, 132, 176, 186, 248, 264, 341, 372, 496, 528, 682, 744, 1023, 1364, 1488, 2046, 2728, 4092, 5456, 8184
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16348 and 16368. The biggest common factor number is the GCF number.
So the greatest common factor 16348 and 16368 is 4.
Also check out the Least Common Multiple of 16348 and 16368
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