What is the Greatest Common Factor of 25680 and 25692?

Greatest common factor (GCF) of 25680 and 25692 is 12.

GCF(25680,25692) = 12

We will now calculate the prime factors of 25680 and 25692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25680 and 25692.

How to find the GCF of 25680 and 25692?

We will first find the prime factorization of 25680 and 25692. After we will calculate the factors of 25680 and 25692 and find the biggest common factor number .

Step-1: Prime Factorization of 25680

Prime factors of 25680 are 2, 3, 5, 107. Prime factorization of 25680 in exponential form is:

25680 = 2⁴ × 3¹ × 5¹ × 107¹

Step-2: Prime Factorization of 25692

Prime factors of 25692 are 2, 3, 2141. Prime factorization of 25692 in exponential form is:

25692 = 2² × 3¹ × 2141¹

Step-3: Factors of 25680

List of positive integer factors of 25680 that divides 25680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 107, 120, 214, 240, 321, 428, 535, 642, 856, 1070, 1284, 1605, 1712, 2140, 2568, 3210, 4280, 5136, 6420, 8560, 12840

Step-4: Factors of 25692

List of positive integer factors of 25692 that divides 25680 without a remainder.

1, 2, 3, 4, 6, 12, 2141, 4282, 6423, 8564, 12846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25680 and 25692. The biggest common factor number is the GCF number.
So the greatest common factor 25680 and 25692 is 12.

Also check out the Least Common Multiple of 25680 and 25692