What is the Greatest Common Factor of 26429 and 26448?

Greatest common factor (GCF) of 26429 and 26448 is 19.

GCF(26429,26448) = 19

We will now calculate the prime factors of 26429 and 26448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26429 and 26448.

How to find the GCF of 26429 and 26448?

We will first find the prime factorization of 26429 and 26448. After we will calculate the factors of 26429 and 26448 and find the biggest common factor number .

Step-1: Prime Factorization of 26429

Prime factors of 26429 are 13, 19, 107. Prime factorization of 26429 in exponential form is:

26429 = 13¹ × 19¹ × 107¹

Step-2: Prime Factorization of 26448

Prime factors of 26448 are 2, 3, 19, 29. Prime factorization of 26448 in exponential form is:

26448 = 2⁴ × 3¹ × 19¹ × 29¹

Step-3: Factors of 26429

List of positive integer factors of 26429 that divides 26429 without a remainder.

1, 13, 19, 107, 247, 1391, 2033

Step-4: Factors of 26448

List of positive integer factors of 26448 that divides 26429 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 29, 38, 48, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 304, 348, 456, 464, 551, 696, 912, 1102, 1392, 1653, 2204, 3306, 4408, 6612, 8816, 13224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26429 and 26448. The biggest common factor number is the GCF number.
So the greatest common factor 26429 and 26448 is 19.

Also check out the Least Common Multiple of 26429 and 26448