What is the Greatest Common Factor of 25649 and 25662?

Greatest common factor (GCF) of 25649 and 25662 is 13.

GCF(25649,25662) = 13

We will now calculate the prime factors of 25649 and 25662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25649 and 25662.

How to find the GCF of 25649 and 25662?

We will first find the prime factorization of 25649 and 25662. After we will calculate the factors of 25649 and 25662 and find the biggest common factor number .

Step-1: Prime Factorization of 25649

Prime factors of 25649 are 13, 1973. Prime factorization of 25649 in exponential form is:

25649 = 13¹ × 1973¹

Step-2: Prime Factorization of 25662

Prime factors of 25662 are 2, 3, 7, 13, 47. Prime factorization of 25662 in exponential form is:

25662 = 2¹ × 3¹ × 7¹ × 13¹ × 47¹

Step-3: Factors of 25649

List of positive integer factors of 25649 that divides 25649 without a remainder.

1, 13, 1973

Step-4: Factors of 25662

List of positive integer factors of 25662 that divides 25649 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 47, 78, 91, 94, 141, 182, 273, 282, 329, 546, 611, 658, 987, 1222, 1833, 1974, 3666, 4277, 8554, 12831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25649 and 25662. The biggest common factor number is the GCF number.
So the greatest common factor 25649 and 25662 is 13.

Also check out the Least Common Multiple of 25649 and 25662