What is the Greatest Common Factor of 26025 and 26040?

Greatest common factor (GCF) of 26025 and 26040 is 15.

GCF(26025,26040) = 15

We will now calculate the prime factors of 26025 and 26040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26025 and 26040.

How to find the GCF of 26025 and 26040?

We will first find the prime factorization of 26025 and 26040. After we will calculate the factors of 26025 and 26040 and find the biggest common factor number .

Step-1: Prime Factorization of 26025

Prime factors of 26025 are 3, 5, 347. Prime factorization of 26025 in exponential form is:

26025 = 3¹ × 5² × 347¹

Step-2: 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-3: Factors of 26025

List of positive integer factors of 26025 that divides 26025 without a remainder.

1, 3, 5, 15, 25, 75, 347, 1041, 1735, 5205, 8675

Step-4: Factors of 26040

List of positive integer factors of 26040 that divides 26025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26025 and 26040. The biggest common factor number is the GCF number.
So the greatest common factor 26025 and 26040 is 15.

Also check out the Least Common Multiple of 26025 and 26040