What is the Greatest Common Factor of 67574 and 67587?

Greatest common factor (GCF) of 67574 and 67587 is 13.

GCF(67574,67587) = 13

We will now calculate the prime factors of 67574 and 67587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67574 and 67587.

How to find the GCF of 67574 and 67587?

We will first find the prime factorization of 67574 and 67587. After we will calculate the factors of 67574 and 67587 and find the biggest common factor number .

Step-1: Prime Factorization of 67574

Prime factors of 67574 are 2, 13, 23, 113. Prime factorization of 67574 in exponential form is:

67574 = 2¹ × 13¹ × 23¹ × 113¹

Step-2: Prime Factorization of 67587

Prime factors of 67587 are 3, 13, 1733. Prime factorization of 67587 in exponential form is:

67587 = 3¹ × 13¹ × 1733¹

Step-3: Factors of 67574

List of positive integer factors of 67574 that divides 67574 without a remainder.

1, 2, 13, 23, 26, 46, 113, 226, 299, 598, 1469, 2599, 2938, 5198, 33787

Step-4: Factors of 67587

List of positive integer factors of 67587 that divides 67574 without a remainder.

1, 3, 13, 39, 1733, 5199, 22529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67574 and 67587. The biggest common factor number is the GCF number.
So the greatest common factor 67574 and 67587 is 13.

Also check out the Least Common Multiple of 67574 and 67587