What is the Greatest Common Factor of 77638 and 77648?

Greatest common factor (GCF) of 77638 and 77648 is 2.

GCF(77638,77648) = 2

We will now calculate the prime factors of 77638 and 77648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77638 and 77648.

How to find the GCF of 77638 and 77648?

We will first find the prime factorization of 77638 and 77648. After we will calculate the factors of 77638 and 77648 and find the biggest common factor number .

Step-1: Prime Factorization of 77638

Prime factors of 77638 are 2, 11, 3529. Prime factorization of 77638 in exponential form is:

77638 = 2¹ × 11¹ × 3529¹

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 77638

List of positive integer factors of 77638 that divides 77638 without a remainder.

1, 2, 11, 22, 3529, 7058, 38819

Step-4: Factors of 77648

List of positive integer factors of 77648 that divides 77638 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 77638 and 77648. The biggest common factor number is the GCF number.
So the greatest common factor 77638 and 77648 is 2.

Also check out the Least Common Multiple of 77638 and 77648