What is the Greatest Common Factor of 77640 and 77648?

Greatest common factor (GCF) of 77640 and 77648 is 8.

GCF(77640,77648) = 8

We will now calculate the prime factors of 77640 and 77648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77640 and 77648.

How to find the GCF of 77640 and 77648?

We will first find the prime factorization of 77640 and 77648. After we will calculate the factors of 77640 and 77648 and find the biggest common factor number .

Step-1: Prime Factorization of 77640

Prime factors of 77640 are 2, 3, 5, 647. Prime factorization of 77640 in exponential form is:

77640 = 2³ × 3¹ × 5¹ × 647¹

Step-2: Prime Factorization of 77648

Prime factors of 77648 are 2, 23, 211. Prime factorization of 77648 in exponential form is:

77648 = 2⁴ × 23¹ × 211¹

Step-3: Factors of 77640

List of positive integer factors of 77640 that divides 77640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 647, 1294, 1941, 2588, 3235, 3882, 5176, 6470, 7764, 9705, 12940, 15528, 19410, 25880, 38820

Step-4: Factors of 77648

List of positive integer factors of 77648 that divides 77640 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 211, 368, 422, 844, 1688, 3376, 4853, 9706, 19412, 38824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77640 and 77648. The biggest common factor number is the GCF number.
So the greatest common factor 77640 and 77648 is 8.

Also check out the Least Common Multiple of 77640 and 77648