What is the Greatest Common Factor of 58992 and 58996?
Greatest common factor (GCF) of 58992 and 58996 is 4.
GCF(58992,58996) = 4
We will now calculate the prime factors of 58992 and 58996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58992 and 58996.
How to find the GCF of 58992 and 58996?
We will first find the prime factorization of 58992 and 58996. After we will calculate the factors of 58992 and 58996 and find the biggest common factor number .
Step-1: Prime Factorization of 58992
Prime factors of 58992 are 2, 3, 1229. Prime factorization of 58992 in exponential form is:
58992 = 24 × 31 × 12291
Step-2: Prime Factorization of 58996
Prime factors of 58996 are 2, 7, 43. Prime factorization of 58996 in exponential form is:
58996 = 22 × 73 × 431
Step-3: Factors of 58992
List of positive integer factors of 58992 that divides 58992 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1229, 2458, 3687, 4916, 7374, 9832, 14748, 19664, 29496
Step-4: Factors of 58996
List of positive integer factors of 58996 that divides 58992 without a remainder.
1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 343, 602, 686, 1204, 1372, 2107, 4214, 8428, 14749, 29498
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58992 and 58996. The biggest common factor number is the GCF number.
So the greatest common factor 58992 and 58996 is 4.
Also check out the Least Common Multiple of 58992 and 58996
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