What is the Greatest Common Factor of 77488 and 77495?

Greatest common factor (GCF) of 77488 and 77495 is 1.

GCF(77488,77495) = 1

We will now calculate the prime factors of 77488 and 77495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77488 and 77495.

How to find the GCF of 77488 and 77495?

We will first find the prime factorization of 77488 and 77495. After we will calculate the factors of 77488 and 77495 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 77495

Prime factors of 77495 are 5, 11, 1409. Prime factorization of 77495 in exponential form is:

77495 = 5¹ × 11¹ × 1409¹

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 77495

List of positive integer factors of 77495 that divides 77488 without a remainder.

1, 5, 11, 55, 1409, 7045, 15499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77488 and 77495. The biggest common factor number is the GCF number.
So the greatest common factor 77488 and 77495 is 1.

Also check out the Least Common Multiple of 77488 and 77495