What is the Greatest Common Factor of 26040 and 26049?

Greatest common factor (GCF) of 26040 and 26049 is 3.

GCF(26040,26049) = 3

We will now calculate the prime factors of 26040 and 26049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26040 and 26049.

How to find the GCF of 26040 and 26049?

We will first find the prime factorization of 26040 and 26049. After we will calculate the factors of 26040 and 26049 and find the biggest common factor number .

Step-1: Prime Factorization of 26040

Prime factors of 26040 are 2, 3, 5, 7, 31. Prime factorization of 26040 in exponential form is:

26040 = 2³ × 3¹ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 26049

Prime factors of 26049 are 3, 19, 457. Prime factorization of 26049 in exponential form is:

26049 = 3¹ × 19¹ × 457¹

Step-3: Factors of 26040

List of positive integer factors of 26040 that divides 26040 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 31, 35, 40, 42, 56, 60, 62, 70, 84, 93, 105, 120, 124, 140, 155, 168, 186, 210, 217, 248, 280, 310, 372, 420, 434, 465, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1736, 1860, 2170, 2604, 3255, 3720, 4340, 5208, 6510, 8680, 13020

Step-4: Factors of 26049

List of positive integer factors of 26049 that divides 26040 without a remainder.

1, 3, 19, 57, 457, 1371, 8683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26040 and 26049. The biggest common factor number is the GCF number.
So the greatest common factor 26040 and 26049 is 3.

Also check out the Least Common Multiple of 26040 and 26049