What is the Greatest Common Factor of 30976 and 30992?
Greatest common factor (GCF) of 30976 and 30992 is 16.
GCF(30976,30992) = 16
We will now calculate the prime factors of 30976 and 30992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30976 and 30992.
How to find the GCF of 30976 and 30992?
We will first find the prime factorization of 30976 and 30992. After we will calculate the factors of 30976 and 30992 and find the biggest common factor number .
Step-1: Prime Factorization of 30976
Prime factors of 30976 are 2, 11. Prime factorization of 30976 in exponential form is:
30976 = 28 × 112
Step-2: Prime Factorization of 30992
Prime factors of 30992 are 2, 13, 149. Prime factorization of 30992 in exponential form is:
30992 = 24 × 131 × 1491
Step-3: Factors of 30976
List of positive integer factors of 30976 that divides 30976 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 128, 176, 242, 256, 352, 484, 704, 968, 1408, 1936, 2816, 3872, 7744, 15488
Step-4: Factors of 30992
List of positive integer factors of 30992 that divides 30976 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 149, 208, 298, 596, 1192, 1937, 2384, 3874, 7748, 15496
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30976 and 30992. The biggest common factor number is the GCF number.
So the greatest common factor 30976 and 30992 is 16.
Also check out the Least Common Multiple of 30976 and 30992
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