What is the Greatest Common Factor of 76644 and 76648?

Greatest common factor (GCF) of 76644 and 76648 is 4.

GCF(76644,76648) = 4

We will now calculate the prime factors of 76644 and 76648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76644 and 76648.

How to find the GCF of 76644 and 76648?

We will first find the prime factorization of 76644 and 76648. After we will calculate the factors of 76644 and 76648 and find the biggest common factor number .

Step-1: Prime Factorization of 76644

Prime factors of 76644 are 2, 3, 2129. Prime factorization of 76644 in exponential form is:

76644 = 2² × 3² × 2129¹

Step-2: Prime Factorization of 76648

Prime factors of 76648 are 2, 11, 13, 67. Prime factorization of 76648 in exponential form is:

76648 = 2³ × 11¹ × 13¹ × 67¹

Step-3: Factors of 76644

List of positive integer factors of 76644 that divides 76644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2129, 4258, 6387, 8516, 12774, 19161, 25548, 38322

Step-4: Factors of 76648

List of positive integer factors of 76648 that divides 76644 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 67, 88, 104, 134, 143, 268, 286, 536, 572, 737, 871, 1144, 1474, 1742, 2948, 3484, 5896, 6968, 9581, 19162, 38324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76644 and 76648. The biggest common factor number is the GCF number.
So the greatest common factor 76644 and 76648 is 4.

Also check out the Least Common Multiple of 76644 and 76648