What is the Greatest Common Factor of 93574 and 93587?

Greatest common factor (GCF) of 93574 and 93587 is 13.

GCF(93574,93587) = 13

We will now calculate the prime factors of 93574 and 93587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93574 and 93587.

How to find the GCF of 93574 and 93587?

We will first find the prime factorization of 93574 and 93587. After we will calculate the factors of 93574 and 93587 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93587

Prime factors of 93587 are 13, 23, 313. Prime factorization of 93587 in exponential form is:

93587 = 13¹ × 23¹ × 313¹

Step-3: Factors of 93574

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

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

Step-4: Factors of 93587

List of positive integer factors of 93587 that divides 93574 without a remainder.

1, 13, 23, 299, 313, 4069, 7199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93574 and 93587. The biggest common factor number is the GCF number.
So the greatest common factor 93574 and 93587 is 13.

Also check out the Least Common Multiple of 93574 and 93587