What is the Greatest Common Factor of 25783 and 25802?

Greatest common factor (GCF) of 25783 and 25802 is 19.

GCF(25783,25802) = 19

We will now calculate the prime factors of 25783 and 25802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25783 and 25802.

How to find the GCF of 25783 and 25802?

We will first find the prime factorization of 25783 and 25802. After we will calculate the factors of 25783 and 25802 and find the biggest common factor number .

Step-1: Prime Factorization of 25783

Prime factors of 25783 are 19, 23, 59. Prime factorization of 25783 in exponential form is:

25783 = 19¹ × 23¹ × 59¹

Step-2: Prime Factorization of 25802

Prime factors of 25802 are 2, 7, 19, 97. Prime factorization of 25802 in exponential form is:

25802 = 2¹ × 7¹ × 19¹ × 97¹

Step-3: Factors of 25783

List of positive integer factors of 25783 that divides 25783 without a remainder.

1, 19, 23, 59, 437, 1121, 1357

Step-4: Factors of 25802

List of positive integer factors of 25802 that divides 25783 without a remainder.

1, 2, 7, 14, 19, 38, 97, 133, 194, 266, 679, 1358, 1843, 3686, 12901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25783 and 25802. The biggest common factor number is the GCF number.
So the greatest common factor 25783 and 25802 is 19.

Also check out the Least Common Multiple of 25783 and 25802