What is the Greatest Common Factor of 26340 and 26352?

Greatest common factor (GCF) of 26340 and 26352 is 12.

GCF(26340,26352) = 12

We will now calculate the prime factors of 26340 and 26352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26340 and 26352.

How to find the GCF of 26340 and 26352?

We will first find the prime factorization of 26340 and 26352. After we will calculate the factors of 26340 and 26352 and find the biggest common factor number .

Step-1: Prime Factorization of 26340

Prime factors of 26340 are 2, 3, 5, 439. Prime factorization of 26340 in exponential form is:

26340 = 2² × 3¹ × 5¹ × 439¹

Step-2: Prime Factorization of 26352

Prime factors of 26352 are 2, 3, 61. Prime factorization of 26352 in exponential form is:

26352 = 2⁴ × 3³ × 61¹

Step-3: Factors of 26340

List of positive integer factors of 26340 that divides 26340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 439, 878, 1317, 1756, 2195, 2634, 4390, 5268, 6585, 8780, 13170

Step-4: Factors of 26352

List of positive integer factors of 26352 that divides 26340 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 61, 72, 108, 122, 144, 183, 216, 244, 366, 432, 488, 549, 732, 976, 1098, 1464, 1647, 2196, 2928, 3294, 4392, 6588, 8784, 13176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26340 and 26352. The biggest common factor number is the GCF number.
So the greatest common factor 26340 and 26352 is 12.

Also check out the Least Common Multiple of 26340 and 26352