What is the Greatest Common Factor of 77649 and 77662?

Greatest common factor (GCF) of 77649 and 77662 is 13.

GCF(77649,77662) = 13

We will now calculate the prime factors of 77649 and 77662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77649 and 77662.

How to find the GCF of 77649 and 77662?

We will first find the prime factorization of 77649 and 77662. After we will calculate the factors of 77649 and 77662 and find the biggest common factor number .

Step-1: Prime Factorization of 77649

Prime factors of 77649 are 3, 11, 13, 181. Prime factorization of 77649 in exponential form is:

77649 = 3¹ × 11¹ × 13¹ × 181¹

Step-2: Prime Factorization of 77662

Prime factors of 77662 are 2, 13, 29, 103. Prime factorization of 77662 in exponential form is:

77662 = 2¹ × 13¹ × 29¹ × 103¹

Step-3: Factors of 77649

List of positive integer factors of 77649 that divides 77649 without a remainder.

1, 3, 11, 13, 33, 39, 143, 181, 429, 543, 1991, 2353, 5973, 7059, 25883

Step-4: Factors of 77662

List of positive integer factors of 77662 that divides 77649 without a remainder.

1, 2, 13, 26, 29, 58, 103, 206, 377, 754, 1339, 2678, 2987, 5974, 38831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77649 and 77662. The biggest common factor number is the GCF number.
So the greatest common factor 77649 and 77662 is 13.

Also check out the Least Common Multiple of 77649 and 77662