What is the Greatest Common Factor of 67732 and 67746?

Greatest common factor (GCF) of 67732 and 67746 is 14.

GCF(67732,67746) = 14

We will now calculate the prime factors of 67732 and 67746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67732 and 67746.

How to find the GCF of 67732 and 67746?

We will first find the prime factorization of 67732 and 67746. After we will calculate the factors of 67732 and 67746 and find the biggest common factor number .

Step-1: Prime Factorization of 67732

Prime factors of 67732 are 2, 7, 41, 59. Prime factorization of 67732 in exponential form is:

67732 = 2² × 7¹ × 41¹ × 59¹

Step-2: Prime Factorization of 67746

Prime factors of 67746 are 2, 3, 7, 1613. Prime factorization of 67746 in exponential form is:

67746 = 2¹ × 3¹ × 7¹ × 1613¹

Step-3: Factors of 67732

List of positive integer factors of 67732 that divides 67732 without a remainder.

1, 2, 4, 7, 14, 28, 41, 59, 82, 118, 164, 236, 287, 413, 574, 826, 1148, 1652, 2419, 4838, 9676, 16933, 33866

Step-4: Factors of 67746

List of positive integer factors of 67746 that divides 67732 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1613, 3226, 4839, 9678, 11291, 22582, 33873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67732 and 67746. The biggest common factor number is the GCF number.
So the greatest common factor 67732 and 67746 is 14.

Also check out the Least Common Multiple of 67732 and 67746