What is the Greatest Common Factor of 30521 and 30540?
Greatest common factor (GCF) of 30521 and 30540 is 1.
GCF(30521,30540) = 1
We will now calculate the prime factors of 30521 and 30540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30521 and 30540.
How to find the GCF of 30521 and 30540?
We will first find the prime factorization of 30521 and 30540. After we will calculate the factors of 30521 and 30540 and find the biggest common factor number .
Step-1: Prime Factorization of 30521
Prime factors of 30521 are 23, 1327. Prime factorization of 30521 in exponential form is:
30521 = 231 × 13271
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 30521
List of positive integer factors of 30521 that divides 30521 without a remainder.
1, 23, 1327
Step-4: Factors of 30540
List of positive integer factors of 30540 that divides 30521 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 30521 and 30540. The biggest common factor number is the GCF number.
So the greatest common factor 30521 and 30540 is 1.
Also check out the Least Common Multiple of 30521 and 30540
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Related Greatest Common Factors of 30540
- GCF of 30540 and 30544
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- GCF of 30540 and 30550
- GCF of 30540 and 30551
- GCF of 30540 and 30552
- GCF of 30540 and 30553
- GCF of 30540 and 30554
- GCF of 30540 and 30555
- GCF of 30540 and 30556
- GCF of 30540 and 30557
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