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What is the Greatest Common Factor of 41780 and 41789?

Greatest common factor (GCF) of 41780 and 41789 is 1.

GCF(41780,41789) = 1

We will now calculate the prime factors of 41780 and 41789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41780 and 41789.

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How to find the GCF of 41780 and 41789?

We will first find the prime factorization of 41780 and 41789. After we will calculate the factors of 41780 and 41789 and find the biggest common factor number .

Step-1: Prime Factorization of 41780

Prime factors of 41780 are 2, 5, 2089. Prime factorization of 41780 in exponential form is:

41780 = 22 × 51 × 20891

Step-2: Prime Factorization of 41789

Prime factors of 41789 are 11, 29, 131. Prime factorization of 41789 in exponential form is:

41789 = 111 × 291 × 1311

Step-3: Factors of 41780

List of positive integer factors of 41780 that divides 41780 without a remainder.

1, 2, 4, 5, 10, 20, 2089, 4178, 8356, 10445, 20890

Step-4: Factors of 41789

List of positive integer factors of 41789 that divides 41780 without a remainder.

1, 11, 29, 131, 319, 1441, 3799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41780 and 41789. The biggest common factor number is the GCF number.
So the greatest common factor 41780 and 41789 is 1.

Also check out the Least Common Multiple of 41780 and 41789