What is the Greatest Common Factor of 5976 and 5995?
Greatest common factor (GCF) of 5976 and 5995 is 1.
GCF(5976,5995) = 1
We will now calculate the prime factors of 5976 and 5995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5976 and 5995.
How to find the GCF of 5976 and 5995?
We will first find the prime factorization of 5976 and 5995. After we will calculate the factors of 5976 and 5995 and find the biggest common factor number .
Step-1: Prime Factorization of 5976
Prime factors of 5976 are 2, 3, 83. Prime factorization of 5976 in exponential form is:
5976 = 23 × 32 × 831
Step-2: Prime Factorization of 5995
Prime factors of 5995 are 5, 11, 109. Prime factorization of 5995 in exponential form is:
5995 = 51 × 111 × 1091
Step-3: Factors of 5976
List of positive integer factors of 5976 that divides 5976 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988
Step-4: Factors of 5995
List of positive integer factors of 5995 that divides 5976 without a remainder.
1, 5, 11, 55, 109, 545, 1199
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5976 and 5995. The biggest common factor number is the GCF number.
So the greatest common factor 5976 and 5995 is 1.
Also check out the Least Common Multiple of 5976 and 5995
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