What is the Greatest Common Factor of 77641 and 77648?

Greatest common factor (GCF) of 77641 and 77648 is 1.

GCF(77641,77648) = 1

We will now calculate the prime factors of 77641 and 77648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77641 and 77648.

How to find the GCF of 77641 and 77648?

We will first find the prime factorization of 77641 and 77648. After we will calculate the factors of 77641 and 77648 and find the biggest common factor number .

Step-1: Prime Factorization of 77641

Prime factors of 77641 are 77641. Prime factorization of 77641 in exponential form is:

77641 = 77641¹

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 77641

List of positive integer factors of 77641 that divides 77641 without a remainder.

Step-4: Factors of 77648

List of positive integer factors of 77648 that divides 77641 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 77641 and 77648. The biggest common factor number is the GCF number.
So the greatest common factor 77641 and 77648 is 1.

Also check out the Least Common Multiple of 77641 and 77648