What is the Greatest Common Factor of 67522 and 67535?

Greatest common factor (GCF) of 67522 and 67535 is 13.

GCF(67522,67535) = 13

We will now calculate the prime factors of 67522 and 67535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67522 and 67535.

How to find the GCF of 67522 and 67535?

We will first find the prime factorization of 67522 and 67535. After we will calculate the factors of 67522 and 67535 and find the biggest common factor number .

Step-1: Prime Factorization of 67522

Prime factors of 67522 are 2, 7, 13, 53. Prime factorization of 67522 in exponential form is:

67522 = 2¹ × 7² × 13¹ × 53¹

Step-2: Prime Factorization of 67535

Prime factors of 67535 are 5, 13, 1039. Prime factorization of 67535 in exponential form is:

67535 = 5¹ × 13¹ × 1039¹

Step-3: Factors of 67522

List of positive integer factors of 67522 that divides 67522 without a remainder.

1, 2, 7, 13, 14, 26, 49, 53, 91, 98, 106, 182, 371, 637, 689, 742, 1274, 1378, 2597, 4823, 5194, 9646, 33761

Step-4: Factors of 67535

List of positive integer factors of 67535 that divides 67522 without a remainder.

1, 5, 13, 65, 1039, 5195, 13507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67522 and 67535. The biggest common factor number is the GCF number.
So the greatest common factor 67522 and 67535 is 13.

Also check out the Least Common Multiple of 67522 and 67535