What is the Greatest Common Factor of 67583 and 67602?

Greatest common factor (GCF) of 67583 and 67602 is 19.

GCF(67583,67602) = 19

We will now calculate the prime factors of 67583 and 67602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67583 and 67602.

How to find the GCF of 67583 and 67602?

We will first find the prime factorization of 67583 and 67602. After we will calculate the factors of 67583 and 67602 and find the biggest common factor number .

Step-1: Prime Factorization of 67583

Prime factors of 67583 are 19, 3557. Prime factorization of 67583 in exponential form is:

67583 = 19¹ × 3557¹

Step-2: Prime Factorization of 67602

Prime factors of 67602 are 2, 3, 19, 593. Prime factorization of 67602 in exponential form is:

67602 = 2¹ × 3¹ × 19¹ × 593¹

Step-3: Factors of 67583

List of positive integer factors of 67583 that divides 67583 without a remainder.

1, 19, 3557

Step-4: Factors of 67602

List of positive integer factors of 67602 that divides 67583 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 593, 1186, 1779, 3558, 11267, 22534, 33801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67583 and 67602. The biggest common factor number is the GCF number.
So the greatest common factor 67583 and 67602 is 19.

Also check out the Least Common Multiple of 67583 and 67602