What is the Greatest Common Factor of 26563 and 26572?

Greatest common factor (GCF) of 26563 and 26572 is 1.

GCF(26563,26572) = 1

We will now calculate the prime factors of 26563 and 26572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26563 and 26572.

How to find the GCF of 26563 and 26572?

We will first find the prime factorization of 26563 and 26572. After we will calculate the factors of 26563 and 26572 and find the biggest common factor number .

Step-1: Prime Factorization of 26563

Prime factors of 26563 are 101, 263. Prime factorization of 26563 in exponential form is:

26563 = 101¹ × 263¹

Step-2: Prime Factorization of 26572

Prime factors of 26572 are 2, 7, 13, 73. Prime factorization of 26572 in exponential form is:

26572 = 2² × 7¹ × 13¹ × 73¹

Step-3: Factors of 26563

List of positive integer factors of 26563 that divides 26563 without a remainder.

1, 101, 263

Step-4: Factors of 26572

List of positive integer factors of 26572 that divides 26563 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 73, 91, 146, 182, 292, 364, 511, 949, 1022, 1898, 2044, 3796, 6643, 13286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26563 and 26572. The biggest common factor number is the GCF number.
So the greatest common factor 26563 and 26572 is 1.

Also check out the Least Common Multiple of 26563 and 26572