What is the Greatest Common Factor of 16060 and 16068?
Greatest common factor (GCF) of 16060 and 16068 is 4.
GCF(16060,16068) = 4
We will now calculate the prime factors of 16060 and 16068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16060 and 16068.
How to find the GCF of 16060 and 16068?
We will first find the prime factorization of 16060 and 16068. After we will calculate the factors of 16060 and 16068 and find the biggest common factor number .
Step-1: Prime Factorization of 16060
Prime factors of 16060 are 2, 5, 11, 73. Prime factorization of 16060 in exponential form is:
16060 = 22 × 51 × 111 × 731
Step-2: Prime Factorization of 16068
Prime factors of 16068 are 2, 3, 13, 103. Prime factorization of 16068 in exponential form is:
16068 = 22 × 31 × 131 × 1031
Step-3: Factors of 16060
List of positive integer factors of 16060 that divides 16060 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 73, 110, 146, 220, 292, 365, 730, 803, 1460, 1606, 3212, 4015, 8030
Step-4: Factors of 16068
List of positive integer factors of 16068 that divides 16060 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 103, 156, 206, 309, 412, 618, 1236, 1339, 2678, 4017, 5356, 8034
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16060 and 16068. The biggest common factor number is the GCF number.
So the greatest common factor 16060 and 16068 is 4.
Also check out the Least Common Multiple of 16060 and 16068
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