What is the Greatest Common Factor of 26049 and 26064?

Greatest common factor (GCF) of 26049 and 26064 is 3.

GCF(26049,26064) = 3

We will now calculate the prime factors of 26049 and 26064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26049 and 26064.

How to find the GCF of 26049 and 26064?

We will first find the prime factorization of 26049 and 26064. After we will calculate the factors of 26049 and 26064 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26064

Prime factors of 26064 are 2, 3, 181. Prime factorization of 26064 in exponential form is:

26064 = 2⁴ × 3² × 181¹

Step-3: Factors of 26049

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

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

Step-4: Factors of 26064

List of positive integer factors of 26064 that divides 26049 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 181, 362, 543, 724, 1086, 1448, 1629, 2172, 2896, 3258, 4344, 6516, 8688, 13032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26049 and 26064. The biggest common factor number is the GCF number.
So the greatest common factor 26049 and 26064 is 3.

Also check out the Least Common Multiple of 26049 and 26064