What is the Greatest Common Factor of 77488 and 77498?

Greatest common factor (GCF) of 77488 and 77498 is 2.

GCF(77488,77498) = 2

We will now calculate the prime factors of 77488 and 77498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77488 and 77498.

How to find the GCF of 77488 and 77498?

We will first find the prime factorization of 77488 and 77498. After we will calculate the factors of 77488 and 77498 and find the biggest common factor number .

Step-1: Prime Factorization of 77488

Prime factors of 77488 are 2, 29, 167. Prime factorization of 77488 in exponential form is:

77488 = 2⁴ × 29¹ × 167¹

Step-2: Prime Factorization of 77498

Prime factors of 77498 are 2, 38749. Prime factorization of 77498 in exponential form is:

77498 = 2¹ × 38749¹

Step-3: Factors of 77488

List of positive integer factors of 77488 that divides 77488 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 167, 232, 334, 464, 668, 1336, 2672, 4843, 9686, 19372, 38744

Step-4: Factors of 77498

List of positive integer factors of 77498 that divides 77488 without a remainder.

1, 2, 38749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77488 and 77498. The biggest common factor number is the GCF number.
So the greatest common factor 77488 and 77498 is 2.

Also check out the Least Common Multiple of 77488 and 77498