What is the Greatest Common Factor of 26353 and 26372?

Greatest common factor (GCF) of 26353 and 26372 is 19.

GCF(26353,26372) = 19

We will now calculate the prime factors of 26353 and 26372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26353 and 26372.

How to find the GCF of 26353 and 26372?

We will first find the prime factorization of 26353 and 26372. After we will calculate the factors of 26353 and 26372 and find the biggest common factor number .

Step-1: Prime Factorization of 26353

Prime factors of 26353 are 19, 73. Prime factorization of 26353 in exponential form is:

26353 = 19² × 73¹

Step-2: Prime Factorization of 26372

Prime factors of 26372 are 2, 19, 347. Prime factorization of 26372 in exponential form is:

26372 = 2² × 19¹ × 347¹

Step-3: Factors of 26353

List of positive integer factors of 26353 that divides 26353 without a remainder.

1, 19, 73, 361, 1387

Step-4: Factors of 26372

List of positive integer factors of 26372 that divides 26353 without a remainder.

1, 2, 4, 19, 38, 76, 347, 694, 1388, 6593, 13186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26353 and 26372. The biggest common factor number is the GCF number.
So the greatest common factor 26353 and 26372 is 19.

Also check out the Least Common Multiple of 26353 and 26372