What is the Greatest Common Factor of 76648 and 76661?

Greatest common factor (GCF) of 76648 and 76661 is 13.

GCF(76648,76661) = 13

We will now calculate the prime factors of 76648 and 76661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76648 and 76661.

How to find the GCF of 76648 and 76661?

We will first find the prime factorization of 76648 and 76661. After we will calculate the factors of 76648 and 76661 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76661

Prime factors of 76661 are 13, 5897. Prime factorization of 76661 in exponential form is:

76661 = 13¹ × 5897¹

Step-3: Factors of 76648

List of positive integer factors of 76648 that divides 76648 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

Step-4: Factors of 76661

List of positive integer factors of 76661 that divides 76648 without a remainder.

1, 13, 5897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76648 and 76661. The biggest common factor number is the GCF number.
So the greatest common factor 76648 and 76661 is 13.

Also check out the Least Common Multiple of 76648 and 76661