What is the Greatest Common Factor of 6116 and 6136?
Greatest common factor (GCF) of 6116 and 6136 is 4.
GCF(6116,6136) = 4
We will now calculate the prime factors of 6116 and 6136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6116 and 6136.
How to find the GCF of 6116 and 6136?
We will first find the prime factorization of 6116 and 6136. After we will calculate the factors of 6116 and 6136 and find the biggest common factor number .
Step-1: Prime Factorization of 6116
Prime factors of 6116 are 2, 11, 139. Prime factorization of 6116 in exponential form is:
6116 = 22 × 111 × 1391
Step-2: Prime Factorization of 6136
Prime factors of 6136 are 2, 13, 59. Prime factorization of 6136 in exponential form is:
6136 = 23 × 131 × 591
Step-3: Factors of 6116
List of positive integer factors of 6116 that divides 6116 without a remainder.
1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058
Step-4: Factors of 6136
List of positive integer factors of 6136 that divides 6116 without a remainder.
1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6116 and 6136. The biggest common factor number is the GCF number.
So the greatest common factor 6116 and 6136 is 4.
Also check out the Least Common Multiple of 6116 and 6136
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