What is the Greatest Common Factor of 67562 and 67573?

Greatest common factor (GCF) of 67562 and 67573 is 11.

GCF(67562,67573) = 11

We will now calculate the prime factors of 67562 and 67573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67562 and 67573.

How to find the GCF of 67562 and 67573?

We will first find the prime factorization of 67562 and 67573. After we will calculate the factors of 67562 and 67573 and find the biggest common factor number .

Step-1: Prime Factorization of 67562

Prime factors of 67562 are 2, 11, 37, 83. Prime factorization of 67562 in exponential form is:

67562 = 2¹ × 11¹ × 37¹ × 83¹

Step-2: Prime Factorization of 67573

Prime factors of 67573 are 11, 6143. Prime factorization of 67573 in exponential form is:

67573 = 11¹ × 6143¹

Step-3: Factors of 67562

List of positive integer factors of 67562 that divides 67562 without a remainder.

1, 2, 11, 22, 37, 74, 83, 166, 407, 814, 913, 1826, 3071, 6142, 33781

Step-4: Factors of 67573

List of positive integer factors of 67573 that divides 67562 without a remainder.

1, 11, 6143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67562 and 67573. The biggest common factor number is the GCF number.
So the greatest common factor 67562 and 67573 is 11.

Also check out the Least Common Multiple of 67562 and 67573