What is the Greatest Common Factor of 67522 and 67534?

Greatest common factor (GCF) of 67522 and 67534 is 2.

GCF(67522,67534) = 2

We will now calculate the prime factors of 67522 and 67534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67522 and 67534.

How to find the GCF of 67522 and 67534?

We will first find the prime factorization of 67522 and 67534. After we will calculate the factors of 67522 and 67534 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 67534

Prime factors of 67534 are 2, 33767. Prime factorization of 67534 in exponential form is:

67534 = 2¹ × 33767¹

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 67534

List of positive integer factors of 67534 that divides 67522 without a remainder.

1, 2, 33767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67522 and 67534. The biggest common factor number is the GCF number.
So the greatest common factor 67522 and 67534 is 2.

Also check out the Least Common Multiple of 67522 and 67534