What is the Greatest Common Factor of 77632 and 77648?

Greatest common factor (GCF) of 77632 and 77648 is 16.

GCF(77632,77648) = 16

We will now calculate the prime factors of 77632 and 77648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77632 and 77648.

How to find the GCF of 77632 and 77648?

We will first find the prime factorization of 77632 and 77648. After we will calculate the factors of 77632 and 77648 and find the biggest common factor number .

Step-1: Prime Factorization of 77632

Prime factors of 77632 are 2, 1213. Prime factorization of 77632 in exponential form is:

77632 = 2⁶ × 1213¹

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 77632

List of positive integer factors of 77632 that divides 77632 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1213, 2426, 4852, 9704, 19408, 38816

Step-4: Factors of 77648

List of positive integer factors of 77648 that divides 77632 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 77632 and 77648. The biggest common factor number is the GCF number.
So the greatest common factor 77632 and 77648 is 16.

Also check out the Least Common Multiple of 77632 and 77648