What is the Greatest Common Factor of 524 and 530?
Greatest common factor (GCF) of 524 and 530 is 2.
GCF(524,530) = 2
We will now calculate the prime factors of 524 and 530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 524 and 530.
How to find the GCF of 524 and 530?
We will first find the prime factorization of 524 and 530. After we will calculate the factors of 524 and 530 and find the biggest common factor number .
Step-1: Prime Factorization of 524
Prime factors of 524 are 2, 131. Prime factorization of 524 in exponential form is:
524 = 22 × 1311
Step-2: Prime Factorization of 530
Prime factors of 530 are 2, 5, 53. Prime factorization of 530 in exponential form is:
530 = 21 × 51 × 531
Step-3: Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262
Step-4: Factors of 530
List of positive integer factors of 530 that divides 524 without a remainder.
1, 2, 5, 10, 53, 106, 265
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 524 and 530. The biggest common factor number is the GCF number.
So the greatest common factor 524 and 530 is 2.
Also check out the Least Common Multiple of 524 and 530
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