What is the Greatest Common Factor of 16556 and 16572?
Greatest common factor (GCF) of 16556 and 16572 is 4.
GCF(16556,16572) = 4
We will now calculate the prime factors of 16556 and 16572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16556 and 16572.
How to find the GCF of 16556 and 16572?
We will first find the prime factorization of 16556 and 16572. After we will calculate the factors of 16556 and 16572 and find the biggest common factor number .
Step-1: Prime Factorization of 16556
Prime factors of 16556 are 2, 4139. Prime factorization of 16556 in exponential form is:
16556 = 22 × 41391
Step-2: Prime Factorization of 16572
Prime factors of 16572 are 2, 3, 1381. Prime factorization of 16572 in exponential form is:
16572 = 22 × 31 × 13811
Step-3: Factors of 16556
List of positive integer factors of 16556 that divides 16556 without a remainder.
1, 2, 4, 4139, 8278
Step-4: Factors of 16572
List of positive integer factors of 16572 that divides 16556 without a remainder.
1, 2, 3, 4, 6, 12, 1381, 2762, 4143, 5524, 8286
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16556 and 16572. The biggest common factor number is the GCF number.
So the greatest common factor 16556 and 16572 is 4.
Also check out the Least Common Multiple of 16556 and 16572
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Related Greatest Common Factors of 16572
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