What is the Greatest Common Factor of 26040 and 26050?

Greatest common factor (GCF) of 26040 and 26050 is 10.

GCF(26040,26050) = 10

We will now calculate the prime factors of 26040 and 26050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26040 and 26050.

How to find the GCF of 26040 and 26050?

We will first find the prime factorization of 26040 and 26050. After we will calculate the factors of 26040 and 26050 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 26050

Prime factors of 26050 are 2, 5, 521. Prime factorization of 26050 in exponential form is:

26050 = 2¹ × 5² × 521¹

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 26050

List of positive integer factors of 26050 that divides 26040 without a remainder.

1, 2, 5, 10, 25, 50, 521, 1042, 2605, 5210, 13025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26040 and 26050. The biggest common factor number is the GCF number.
So the greatest common factor 26040 and 26050 is 10.

Also check out the Least Common Multiple of 26040 and 26050