What is the Greatest Common Factor of 96538 and 96551?

Greatest common factor (GCF) of 96538 and 96551 is 13.

GCF(96538,96551) = 13

We will now calculate the prime factors of 96538 and 96551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96538 and 96551.

How to find the GCF of 96538 and 96551?

We will first find the prime factorization of 96538 and 96551. After we will calculate the factors of 96538 and 96551 and find the biggest common factor number .

Step-1: Prime Factorization of 96538

Prime factors of 96538 are 2, 13, 47, 79. Prime factorization of 96538 in exponential form is:

96538 = 2¹ × 13¹ × 47¹ × 79¹

Step-2: Prime Factorization of 96551

Prime factors of 96551 are 7, 13, 1061. Prime factorization of 96551 in exponential form is:

96551 = 7¹ × 13¹ × 1061¹

Step-3: Factors of 96538

List of positive integer factors of 96538 that divides 96538 without a remainder.

1, 2, 13, 26, 47, 79, 94, 158, 611, 1027, 1222, 2054, 3713, 7426, 48269

Step-4: Factors of 96551

List of positive integer factors of 96551 that divides 96538 without a remainder.

1, 7, 13, 91, 1061, 7427, 13793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96538 and 96551. The biggest common factor number is the GCF number.
So the greatest common factor 96538 and 96551 is 13.

Also check out the Least Common Multiple of 96538 and 96551