What is the Greatest Common Factor of 43778 and 43798?

Greatest common factor (GCF) of 43778 and 43798 is 2.

GCF(43778,43798) = 2

We will now calculate the prime factors of 43778 and 43798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43778 and 43798.

How to find the GCF of 43778 and 43798?

We will first find the prime factorization of 43778 and 43798. After we will calculate the factors of 43778 and 43798 and find the biggest common factor number .

Step-1: Prime Factorization of 43778

Prime factors of 43778 are 2, 7, 53, 59. Prime factorization of 43778 in exponential form is:

43778 = 2¹ × 7¹ × 53¹ × 59¹

Step-2: Prime Factorization of 43798

Prime factors of 43798 are 2, 61, 359. Prime factorization of 43798 in exponential form is:

43798 = 2¹ × 61¹ × 359¹

Step-3: Factors of 43778

List of positive integer factors of 43778 that divides 43778 without a remainder.

1, 2, 7, 14, 53, 59, 106, 118, 371, 413, 742, 826, 3127, 6254, 21889

Step-4: Factors of 43798

List of positive integer factors of 43798 that divides 43778 without a remainder.

1, 2, 61, 122, 359, 718, 21899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43778 and 43798. The biggest common factor number is the GCF number.
So the greatest common factor 43778 and 43798 is 2.

Also check out the Least Common Multiple of 43778 and 43798