What is the Greatest Common Factor of 20460 and 20480?
Greatest common factor (GCF) of 20460 and 20480 is 20.
GCF(20460,20480) = 20
We will now calculate the prime factors of 20460 and 20480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20460 and 20480.
How to find the GCF of 20460 and 20480?
We will first find the prime factorization of 20460 and 20480. After we will calculate the factors of 20460 and 20480 and find the biggest common factor number .
Step-1: Prime Factorization of 20460
Prime factors of 20460 are 2, 3, 5, 11, 31. Prime factorization of 20460 in exponential form is:
20460 = 22 × 31 × 51 × 111 × 311
Step-2: Prime Factorization of 20480
Prime factors of 20480 are 2, 5. Prime factorization of 20480 in exponential form is:
20480 = 212 × 51
Step-3: Factors of 20460
List of positive integer factors of 20460 that divides 20460 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 31, 33, 44, 55, 60, 62, 66, 93, 110, 124, 132, 155, 165, 186, 220, 310, 330, 341, 372, 465, 620, 660, 682, 930, 1023, 1364, 1705, 1860, 2046, 3410, 4092, 5115, 6820, 10230
Step-4: Factors of 20480
List of positive integer factors of 20480 that divides 20460 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 4096, 5120, 10240
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20460 and 20480. The biggest common factor number is the GCF number.
So the greatest common factor 20460 and 20480 is 20.
Also check out the Least Common Multiple of 20460 and 20480
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