What is the Greatest Common Factor of 30522 and 30540?
Greatest common factor (GCF) of 30522 and 30540 is 6.
GCF(30522,30540) = 6
We will now calculate the prime factors of 30522 and 30540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30522 and 30540.
How to find the GCF of 30522 and 30540?
We will first find the prime factorization of 30522 and 30540. After we will calculate the factors of 30522 and 30540 and find the biggest common factor number .
Step-1: Prime Factorization of 30522
Prime factors of 30522 are 2, 3, 5087. Prime factorization of 30522 in exponential form is:
30522 = 21 × 31 × 50871
Step-2: Prime Factorization of 30540
Prime factors of 30540 are 2, 3, 5, 509. Prime factorization of 30540 in exponential form is:
30540 = 22 × 31 × 51 × 5091
Step-3: Factors of 30522
List of positive integer factors of 30522 that divides 30522 without a remainder.
1, 2, 3, 6, 5087, 10174, 15261
Step-4: Factors of 30540
List of positive integer factors of 30540 that divides 30522 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 509, 1018, 1527, 2036, 2545, 3054, 5090, 6108, 7635, 10180, 15270
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30522 and 30540. The biggest common factor number is the GCF number.
So the greatest common factor 30522 and 30540 is 6.
Also check out the Least Common Multiple of 30522 and 30540
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Related Greatest Common Factors of 30540
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