What is the Greatest Common Factor of 77488 and 77507?

Greatest common factor (GCF) of 77488 and 77507 is 1.

GCF(77488,77507) = 1

We will now calculate the prime factors of 77488 and 77507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77488 and 77507.

How to find the GCF of 77488 and 77507?

We will first find the prime factorization of 77488 and 77507. After we will calculate the factors of 77488 and 77507 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 77507

Prime factors of 77507 are 179, 433. Prime factorization of 77507 in exponential form is:

77507 = 179¹ × 433¹

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 77507

List of positive integer factors of 77507 that divides 77488 without a remainder.

1, 179, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77488 and 77507. The biggest common factor number is the GCF number.
So the greatest common factor 77488 and 77507 is 1.

Also check out the Least Common Multiple of 77488 and 77507