What is the Greatest Common Factor of 93561 and 93574?

Greatest common factor (GCF) of 93561 and 93574 is 13.

GCF(93561,93574) = 13

We will now calculate the prime factors of 93561 and 93574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93561 and 93574.

How to find the GCF of 93561 and 93574?

We will first find the prime factorization of 93561 and 93574. After we will calculate the factors of 93561 and 93574 and find the biggest common factor number .

Step-1: Prime Factorization of 93561

Prime factors of 93561 are 3, 13, 2399. Prime factorization of 93561 in exponential form is:

93561 = 3¹ × 13¹ × 2399¹

Step-2: Prime Factorization of 93574

Prime factors of 93574 are 2, 13, 59, 61. Prime factorization of 93574 in exponential form is:

93574 = 2¹ × 13¹ × 59¹ × 61¹

Step-3: Factors of 93561

List of positive integer factors of 93561 that divides 93561 without a remainder.

1, 3, 13, 39, 2399, 7197, 31187

Step-4: Factors of 93574

List of positive integer factors of 93574 that divides 93561 without a remainder.

1, 2, 13, 26, 59, 61, 118, 122, 767, 793, 1534, 1586, 3599, 7198, 46787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93561 and 93574. The biggest common factor number is the GCF number.
So the greatest common factor 93561 and 93574 is 13.

Also check out the Least Common Multiple of 93561 and 93574