What is the Greatest Common Factor of 41780 and 41792?

Greatest common factor (GCF) of 41780 and 41792 is 4.

GCF(41780,41792) = 4

We will now calculate the prime factors of 41780 and 41792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41780 and 41792.

How to find the GCF of 41780 and 41792?

We will first find the prime factorization of 41780 and 41792. After we will calculate the factors of 41780 and 41792 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 41792

Prime factors of 41792 are 2, 653. Prime factorization of 41792 in exponential form is:

41792 = 2⁶ × 653¹

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 41792

List of positive integer factors of 41792 that divides 41780 without a remainder.

1, 2, 4, 8, 16, 32, 64, 653, 1306, 2612, 5224, 10448, 20896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41780 and 41792. The biggest common factor number is the GCF number.
So the greatest common factor 41780 and 41792 is 4.

Also check out the Least Common Multiple of 41780 and 41792