What is the Greatest Common Factor of 96488 and 96502?

Greatest common factor (GCF) of 96488 and 96502 is 14.

GCF(96488,96502) = 14

We will now calculate the prime factors of 96488 and 96502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96488 and 96502.

How to find the GCF of 96488 and 96502?

We will first find the prime factorization of 96488 and 96502. After we will calculate the factors of 96488 and 96502 and find the biggest common factor number .

Step-1: Prime Factorization of 96488

Prime factors of 96488 are 2, 7, 1723. Prime factorization of 96488 in exponential form is:

96488 = 2³ × 7¹ × 1723¹

Step-2: Prime Factorization of 96502

Prime factors of 96502 are 2, 7, 61, 113. Prime factorization of 96502 in exponential form is:

96502 = 2¹ × 7¹ × 61¹ × 113¹

Step-3: Factors of 96488

List of positive integer factors of 96488 that divides 96488 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1723, 3446, 6892, 12061, 13784, 24122, 48244

Step-4: Factors of 96502

List of positive integer factors of 96502 that divides 96488 without a remainder.

1, 2, 7, 14, 61, 113, 122, 226, 427, 791, 854, 1582, 6893, 13786, 48251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96488 and 96502. The biggest common factor number is the GCF number.
So the greatest common factor 96488 and 96502 is 14.

Also check out the Least Common Multiple of 96488 and 96502