What is the Greatest Common Factor of 76635 and 76648?

Greatest common factor (GCF) of 76635 and 76648 is 13.

GCF(76635,76648) = 13

We will now calculate the prime factors of 76635 and 76648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76635 and 76648.

How to find the GCF of 76635 and 76648?

We will first find the prime factorization of 76635 and 76648. After we will calculate the factors of 76635 and 76648 and find the biggest common factor number .

Step-1: Prime Factorization of 76635

Prime factors of 76635 are 3, 5, 13, 131. Prime factorization of 76635 in exponential form is:

76635 = 3² × 5¹ × 13¹ × 131¹

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 76635

List of positive integer factors of 76635 that divides 76635 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 131, 195, 393, 585, 655, 1179, 1703, 1965, 5109, 5895, 8515, 15327, 25545

Step-4: Factors of 76648

List of positive integer factors of 76648 that divides 76635 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 76635 and 76648. The biggest common factor number is the GCF number.
So the greatest common factor 76635 and 76648 is 13.

Also check out the Least Common Multiple of 76635 and 76648