What is the Greatest Common Factor of 5148 and 5156?
Greatest common factor (GCF) of 5148 and 5156 is 4.
GCF(5148,5156) = 4
We will now calculate the prime factors of 5148 and 5156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5148 and 5156.
How to find the GCF of 5148 and 5156?
We will first find the prime factorization of 5148 and 5156. After we will calculate the factors of 5148 and 5156 and find the biggest common factor number .
Step-1: Prime Factorization of 5148
Prime factors of 5148 are 2, 3, 11, 13. Prime factorization of 5148 in exponential form is:
5148 = 22 × 32 × 111 × 131
Step-2: Prime Factorization of 5156
Prime factors of 5156 are 2, 1289. Prime factorization of 5156 in exponential form is:
5156 = 22 × 12891
Step-3: Factors of 5148
List of positive integer factors of 5148 that divides 5148 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574
Step-4: Factors of 5156
List of positive integer factors of 5156 that divides 5148 without a remainder.
1, 2, 4, 1289, 2578
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5148 and 5156. The biggest common factor number is the GCF number.
So the greatest common factor 5148 and 5156 is 4.
Also check out the Least Common Multiple of 5148 and 5156
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