What is the Greatest Common Factor of 67524 and 67538?

Greatest common factor (GCF) of 67524 and 67538 is 2.

GCF(67524,67538) = 2

We will now calculate the prime factors of 67524 and 67538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67524 and 67538.

How to find the GCF of 67524 and 67538?

We will first find the prime factorization of 67524 and 67538. After we will calculate the factors of 67524 and 67538 and find the biggest common factor number .

Step-1: Prime Factorization of 67524

Prime factors of 67524 are 2, 3, 17, 331. Prime factorization of 67524 in exponential form is:

67524 = 2² × 3¹ × 17¹ × 331¹

Step-2: Prime Factorization of 67538

Prime factors of 67538 are 2, 33769. Prime factorization of 67538 in exponential form is:

67538 = 2¹ × 33769¹

Step-3: Factors of 67524

List of positive integer factors of 67524 that divides 67524 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 331, 662, 993, 1324, 1986, 3972, 5627, 11254, 16881, 22508, 33762

Step-4: Factors of 67538

List of positive integer factors of 67538 that divides 67524 without a remainder.

1, 2, 33769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67524 and 67538. The biggest common factor number is the GCF number.
So the greatest common factor 67524 and 67538 is 2.

Also check out the Least Common Multiple of 67524 and 67538