What is the Greatest Common Factor of 67508 and 67522?

Greatest common factor (GCF) of 67508 and 67522 is 14.

GCF(67508,67522) = 14

We will now calculate the prime factors of 67508 and 67522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67508 and 67522.

How to find the GCF of 67508 and 67522?

We will first find the prime factorization of 67508 and 67522. After we will calculate the factors of 67508 and 67522 and find the biggest common factor number .

Step-1: Prime Factorization of 67508

Prime factors of 67508 are 2, 7, 2411. Prime factorization of 67508 in exponential form is:

67508 = 2² × 7¹ × 2411¹

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 67508

List of positive integer factors of 67508 that divides 67508 without a remainder.

1, 2, 4, 7, 14, 28, 2411, 4822, 9644, 16877, 33754

Step-4: Factors of 67522

List of positive integer factors of 67522 that divides 67508 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 67508 and 67522. The biggest common factor number is the GCF number.
So the greatest common factor 67508 and 67522 is 14.

Also check out the Least Common Multiple of 67508 and 67522