What is the Greatest Common Factor of 26040 and 26054?

Greatest common factor (GCF) of 26040 and 26054 is 14.

GCF(26040,26054) = 14

We will now calculate the prime factors of 26040 and 26054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26040 and 26054.

How to find the GCF of 26040 and 26054?

We will first find the prime factorization of 26040 and 26054. After we will calculate the factors of 26040 and 26054 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 26054

Prime factors of 26054 are 2, 7, 1861. Prime factorization of 26054 in exponential form is:

26054 = 2¹ × 7¹ × 1861¹

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 26054

List of positive integer factors of 26054 that divides 26040 without a remainder.

1, 2, 7, 14, 1861, 3722, 13027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26040 and 26054. The biggest common factor number is the GCF number.
So the greatest common factor 26040 and 26054 is 14.

Also check out the Least Common Multiple of 26040 and 26054