What is the Greatest Common Factor of 41770 and 41780?

Greatest common factor (GCF) of 41770 and 41780 is 10.

GCF(41770,41780) = 10

We will now calculate the prime factors of 41770 and 41780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41770 and 41780.

How to find the GCF of 41770 and 41780?

We will first find the prime factorization of 41770 and 41780. After we will calculate the factors of 41770 and 41780 and find the biggest common factor number .

Step-1: Prime Factorization of 41770

Prime factors of 41770 are 2, 5, 4177. Prime factorization of 41770 in exponential form is:

41770 = 2¹ × 5¹ × 4177¹

Step-2: 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-3: Factors of 41770

List of positive integer factors of 41770 that divides 41770 without a remainder.

1, 2, 5, 10, 4177, 8354, 20885

Step-4: Factors of 41780

List of positive integer factors of 41780 that divides 41770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41770 and 41780. The biggest common factor number is the GCF number.
So the greatest common factor 41770 and 41780 is 10.

Also check out the Least Common Multiple of 41770 and 41780