What is the Greatest Common Factor of 529 and 544?
Greatest common factor (GCF) of 529 and 544 is 1.
GCF(529,544) = 1
We will now calculate the prime factors of 529 and 544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 529 and 544.
How to find the GCF of 529 and 544?
We will first find the prime factorization of 529 and 544. After we will calculate the factors of 529 and 544 and find the biggest common factor number .
Step-1: Prime Factorization of 529
Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:
529 = 232
Step-2: Prime Factorization of 544
Prime factors of 544 are 2, 17. Prime factorization of 544 in exponential form is:
544 = 25 × 171
Step-3: Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1, 23
Step-4: Factors of 544
List of positive integer factors of 544 that divides 529 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 529 and 544. The biggest common factor number is the GCF number.
So the greatest common factor 529 and 544 is 1.
Also check out the Least Common Multiple of 529 and 544
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