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What is the Greatest Common Factor of 52890 and 52900?

Greatest common factor (GCF) of 52890 and 52900 is 10.

GCF(52890,52900) = 10

We will now calculate the prime factors of 52890 and 52900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52890 and 52900.

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How to find the GCF of 52890 and 52900?

We will first find the prime factorization of 52890 and 52900. After we will calculate the factors of 52890 and 52900 and find the biggest common factor number .

Step-1: Prime Factorization of 52890

Prime factors of 52890 are 2, 3, 5, 41, 43. Prime factorization of 52890 in exponential form is:

52890 = 21 × 31 × 51 × 411 × 431

Step-2: Prime Factorization of 52900

Prime factors of 52900 are 2, 5, 23. Prime factorization of 52900 in exponential form is:

52900 = 22 × 52 × 232

Step-3: Factors of 52890

List of positive integer factors of 52890 that divides 52890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 43, 82, 86, 123, 129, 205, 215, 246, 258, 410, 430, 615, 645, 1230, 1290, 1763, 3526, 5289, 8815, 10578, 17630, 26445

Step-4: Factors of 52900

List of positive integer factors of 52900 that divides 52890 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 529, 575, 1058, 1150, 2116, 2300, 2645, 5290, 10580, 13225, 26450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52890 and 52900. The biggest common factor number is the GCF number.
So the greatest common factor 52890 and 52900 is 10.

Also check out the Least Common Multiple of 52890 and 52900