What is the Greatest Common Factor of 41720 and 41726?

Greatest common factor (GCF) of 41720 and 41726 is 2.

GCF(41720,41726) = 2

We will now calculate the prime factors of 41720 and 41726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41720 and 41726.

How to find the GCF of 41720 and 41726?

We will first find the prime factorization of 41720 and 41726. After we will calculate the factors of 41720 and 41726 and find the biggest common factor number .

Step-1: Prime Factorization of 41720

Prime factors of 41720 are 2, 5, 7, 149. Prime factorization of 41720 in exponential form is:

41720 = 2³ × 5¹ × 7¹ × 149¹

Step-2: Prime Factorization of 41726

Prime factors of 41726 are 2, 31, 673. Prime factorization of 41726 in exponential form is:

41726 = 2¹ × 31¹ × 673¹

Step-3: Factors of 41720

List of positive integer factors of 41720 that divides 41720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 149, 280, 298, 596, 745, 1043, 1192, 1490, 2086, 2980, 4172, 5215, 5960, 8344, 10430, 20860

Step-4: Factors of 41726

List of positive integer factors of 41726 that divides 41720 without a remainder.

1, 2, 31, 62, 673, 1346, 20863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41720 and 41726. The biggest common factor number is the GCF number.
So the greatest common factor 41720 and 41726 is 2.

Also check out the Least Common Multiple of 41720 and 41726