What is the Greatest Common Factor of 93498 and 93513?

Greatest common factor (GCF) of 93498 and 93513 is 3.

GCF(93498,93513) = 3

We will now calculate the prime factors of 93498 and 93513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93498 and 93513.

How to find the GCF of 93498 and 93513?

We will first find the prime factorization of 93498 and 93513. After we will calculate the factors of 93498 and 93513 and find the biggest common factor number .

Step-1: Prime Factorization of 93498

Prime factors of 93498 are 2, 3, 15583. Prime factorization of 93498 in exponential form is:

93498 = 2¹ × 3¹ × 15583¹

Step-2: Prime Factorization of 93513

Prime factors of 93513 are 3, 7, 61, 73. Prime factorization of 93513 in exponential form is:

93513 = 3¹ × 7¹ × 61¹ × 73¹

Step-3: Factors of 93498

List of positive integer factors of 93498 that divides 93498 without a remainder.

1, 2, 3, 6, 15583, 31166, 46749

Step-4: Factors of 93513

List of positive integer factors of 93513 that divides 93498 without a remainder.

1, 3, 7, 21, 61, 73, 183, 219, 427, 511, 1281, 1533, 4453, 13359, 31171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93498 and 93513. The biggest common factor number is the GCF number.
So the greatest common factor 93498 and 93513 is 3.

Also check out the Least Common Multiple of 93498 and 93513