What is the Greatest Common Factor of 67516 and 67522?

Greatest common factor (GCF) of 67516 and 67522 is 2.

GCF(67516,67522) = 2

We will now calculate the prime factors of 67516 and 67522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67516 and 67522.

How to find the GCF of 67516 and 67522?

We will first find the prime factorization of 67516 and 67522. After we will calculate the factors of 67516 and 67522 and find the biggest common factor number .

Step-1: Prime Factorization of 67516

Prime factors of 67516 are 2, 16879. Prime factorization of 67516 in exponential form is:

67516 = 2² × 16879¹

Step-2: 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-3: Factors of 67516

List of positive integer factors of 67516 that divides 67516 without a remainder.

1, 2, 4, 16879, 33758

Step-4: Factors of 67522

List of positive integer factors of 67522 that divides 67516 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67516 and 67522. The biggest common factor number is the GCF number.
So the greatest common factor 67516 and 67522 is 2.

Also check out the Least Common Multiple of 67516 and 67522