What is the Greatest Common Factor of 88502 and 88519?

Greatest common factor (GCF) of 88502 and 88519 is 17.

GCF(88502,88519) = 17

We will now calculate the prime factors of 88502 and 88519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88502 and 88519.

How to find the GCF of 88502 and 88519?

We will first find the prime factorization of 88502 and 88519. After we will calculate the factors of 88502 and 88519 and find the biggest common factor number .

Step-1: Prime Factorization of 88502

Prime factors of 88502 are 2, 17, 19, 137. Prime factorization of 88502 in exponential form is:

88502 = 2¹ × 17¹ × 19¹ × 137¹

Step-2: Prime Factorization of 88519

Prime factors of 88519 are 17, 41, 127. Prime factorization of 88519 in exponential form is:

88519 = 17¹ × 41¹ × 127¹

Step-3: Factors of 88502

List of positive integer factors of 88502 that divides 88502 without a remainder.

1, 2, 17, 19, 34, 38, 137, 274, 323, 646, 2329, 2603, 4658, 5206, 44251

Step-4: Factors of 88519

List of positive integer factors of 88519 that divides 88502 without a remainder.

1, 17, 41, 127, 697, 2159, 5207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88502 and 88519. The biggest common factor number is the GCF number.
So the greatest common factor 88502 and 88519 is 17.

Also check out the Least Common Multiple of 88502 and 88519