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What is the Greatest Common Factor of 20357 and 20370?

Greatest common factor (GCF) of 20357 and 20370 is 1.

GCF(20357,20370) = 1

We will now calculate the prime factors of 20357 and 20370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20357 and 20370.

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How to find the GCF of 20357 and 20370?

We will first find the prime factorization of 20357 and 20370. After we will calculate the factors of 20357 and 20370 and find the biggest common factor number .

Step-1: Prime Factorization of 20357

Prime factors of 20357 are 20357. Prime factorization of 20357 in exponential form is:

20357 = 203571

Step-2: Prime Factorization of 20370

Prime factors of 20370 are 2, 3, 5, 7, 97. Prime factorization of 20370 in exponential form is:

20370 = 21 × 31 × 51 × 71 × 971

Step-3: Factors of 20357

List of positive integer factors of 20357 that divides 20357 without a remainder.

1

Step-4: Factors of 20370

List of positive integer factors of 20370 that divides 20357 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 97, 105, 194, 210, 291, 485, 582, 679, 970, 1358, 1455, 2037, 2910, 3395, 4074, 6790, 10185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20357 and 20370. The biggest common factor number is the GCF number.
So the greatest common factor 20357 and 20370 is 1.

Also check out the Least Common Multiple of 20357 and 20370