What is the Greatest Common Factor of 7752 and 7769?

Greatest common factor (GCF) of 7752 and 7769 is 17.

GCF(7752,7769) = 17

We will now calculate the prime factors of 7752 and 7769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7752 and 7769.

How to find the GCF of 7752 and 7769?

We will first find the prime factorization of 7752 and 7769. After we will calculate the factors of 7752 and 7769 and find the biggest common factor number .

Step-1: Prime Factorization of 7752

Prime factors of 7752 are 2, 3, 17, 19. Prime factorization of 7752 in exponential form is:

7752 = 2³ × 3¹ × 17¹ × 19¹

Step-2: Prime Factorization of 7769

Prime factors of 7769 are 17, 457. Prime factorization of 7769 in exponential form is:

7769 = 17¹ × 457¹

Step-3: Factors of 7752

List of positive integer factors of 7752 that divides 7752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876

Step-4: Factors of 7769

List of positive integer factors of 7769 that divides 7752 without a remainder.

1, 17, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7752 and 7769. The biggest common factor number is the GCF number.
So the greatest common factor 7752 and 7769 is 17.

Also check out the Least Common Multiple of 7752 and 7769