What is the Greatest Common Factor of 77648 and 77657?

Greatest common factor (GCF) of 77648 and 77657 is 1.

GCF(77648,77657) = 1

We will now calculate the prime factors of 77648 and 77657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77648 and 77657.

How to find the GCF of 77648 and 77657?

We will first find the prime factorization of 77648 and 77657. After we will calculate the factors of 77648 and 77657 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77657

Prime factors of 77657 are 79, 983. Prime factorization of 77657 in exponential form is:

77657 = 79¹ × 983¹

Step-3: Factors of 77648

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

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

Step-4: Factors of 77657

List of positive integer factors of 77657 that divides 77648 without a remainder.

1, 79, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77648 and 77657. The biggest common factor number is the GCF number.
So the greatest common factor 77648 and 77657 is 1.

Also check out the Least Common Multiple of 77648 and 77657