What is the Greatest Common Factor of 67538 and 67548?

Greatest common factor (GCF) of 67538 and 67548 is 2.

GCF(67538,67548) = 2

We will now calculate the prime factors of 67538 and 67548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67538 and 67548.

How to find the GCF of 67538 and 67548?

We will first find the prime factorization of 67538 and 67548. After we will calculate the factors of 67538 and 67548 and find the biggest common factor number .

Step-1: Prime Factorization of 67538

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

67538 = 2¹ × 33769¹

Step-2: Prime Factorization of 67548

Prime factors of 67548 are 2, 3, 13, 433. Prime factorization of 67548 in exponential form is:

67548 = 2² × 3¹ × 13¹ × 433¹

Step-3: Factors of 67538

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

1, 2, 33769

Step-4: Factors of 67548

List of positive integer factors of 67548 that divides 67538 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 433, 866, 1299, 1732, 2598, 5196, 5629, 11258, 16887, 22516, 33774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67538 and 67548. The biggest common factor number is the GCF number.
So the greatest common factor 67538 and 67548 is 2.

Also check out the Least Common Multiple of 67538 and 67548