What is the Greatest Common Factor of 30520 and 30540?
Greatest common factor (GCF) of 30520 and 30540 is 20.
GCF(30520,30540) = 20
We will now calculate the prime factors of 30520 and 30540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30520 and 30540.
How to find the GCF of 30520 and 30540?
We will first find the prime factorization of 30520 and 30540. After we will calculate the factors of 30520 and 30540 and find the biggest common factor number .
Step-1: Prime Factorization of 30520
Prime factors of 30520 are 2, 5, 7, 109. Prime factorization of 30520 in exponential form is:
30520 = 23 × 51 × 71 × 1091
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 30520
List of positive integer factors of 30520 that divides 30520 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 109, 140, 218, 280, 436, 545, 763, 872, 1090, 1526, 2180, 3052, 3815, 4360, 6104, 7630, 15260
Step-4: Factors of 30540
List of positive integer factors of 30540 that divides 30520 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 30520 and 30540. The biggest common factor number is the GCF number.
So the greatest common factor 30520 and 30540 is 20.
Also check out the Least Common Multiple of 30520 and 30540
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Related Greatest Common Factors of 30540
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