What is the Greatest Common Factor of 75488 and 75502?

Greatest common factor (GCF) of 75488 and 75502 is 14.

GCF(75488,75502) = 14

We will now calculate the prime factors of 75488 and 75502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75488 and 75502.

How to find the GCF of 75488 and 75502?

We will first find the prime factorization of 75488 and 75502. After we will calculate the factors of 75488 and 75502 and find the biggest common factor number .

Step-1: Prime Factorization of 75488

Prime factors of 75488 are 2, 7, 337. Prime factorization of 75488 in exponential form is:

75488 = 2⁵ × 7¹ × 337¹

Step-2: Prime Factorization of 75502

Prime factors of 75502 are 2, 7, 5393. Prime factorization of 75502 in exponential form is:

75502 = 2¹ × 7¹ × 5393¹

Step-3: Factors of 75488

List of positive integer factors of 75488 that divides 75488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 337, 674, 1348, 2359, 2696, 4718, 5392, 9436, 10784, 18872, 37744

Step-4: Factors of 75502

List of positive integer factors of 75502 that divides 75488 without a remainder.

1, 2, 7, 14, 5393, 10786, 37751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75488 and 75502. The biggest common factor number is the GCF number.
So the greatest common factor 75488 and 75502 is 14.

Also check out the Least Common Multiple of 75488 and 75502