What is the Greatest Common Factor of 528 and 546?
Greatest common factor (GCF) of 528 and 546 is 6.
GCF(528,546) = 6
We will now calculate the prime factors of 528 and 546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 528 and 546.
How to find the GCF of 528 and 546?
We will first find the prime factorization of 528 and 546. After we will calculate the factors of 528 and 546 and find the biggest common factor number .
Step-1: Prime Factorization of 528
Prime factors of 528 are 2, 3, 11. Prime factorization of 528 in exponential form is:
528 = 24 × 31 × 111
Step-2: Prime Factorization of 546
Prime factors of 546 are 2, 3, 7, 13. Prime factorization of 546 in exponential form is:
546 = 21 × 31 × 71 × 131
Step-3: Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264
Step-4: Factors of 546
List of positive integer factors of 546 that divides 528 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 528 and 546. The biggest common factor number is the GCF number.
So the greatest common factor 528 and 546 is 6.
Also check out the Least Common Multiple of 528 and 546
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