What is the Greatest Common Factor of 24762 and 24776?

Greatest common factor (GCF) of 24762 and 24776 is 2.

GCF(24762,24776) = 2

We will now calculate the prime factors of 24762 and 24776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24762 and 24776.

How to find the GCF of 24762 and 24776?

We will first find the prime factorization of 24762 and 24776. After we will calculate the factors of 24762 and 24776 and find the biggest common factor number .

Step-1: Prime Factorization of 24762

Prime factors of 24762 are 2, 3, 4127. Prime factorization of 24762 in exponential form is:

24762 = 2¹ × 3¹ × 4127¹

Step-2: Prime Factorization of 24776

Prime factors of 24776 are 2, 19, 163. Prime factorization of 24776 in exponential form is:

24776 = 2³ × 19¹ × 163¹

Step-3: Factors of 24762

List of positive integer factors of 24762 that divides 24762 without a remainder.

1, 2, 3, 6, 4127, 8254, 12381

Step-4: Factors of 24776

List of positive integer factors of 24776 that divides 24762 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 163, 326, 652, 1304, 3097, 6194, 12388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24762 and 24776. The biggest common factor number is the GCF number.
So the greatest common factor 24762 and 24776 is 2.

Also check out the Least Common Multiple of 24762 and 24776