What is the Greatest Common Factor of 67672 and 67683?

Greatest common factor (GCF) of 67672 and 67683 is 11.

GCF(67672,67683) = 11

We will now calculate the prime factors of 67672 and 67683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67672 and 67683.

How to find the GCF of 67672 and 67683?

We will first find the prime factorization of 67672 and 67683. After we will calculate the factors of 67672 and 67683 and find the biggest common factor number .

Step-1: Prime Factorization of 67672

Prime factors of 67672 are 2, 11, 769. Prime factorization of 67672 in exponential form is:

67672 = 2³ × 11¹ × 769¹

Step-2: Prime Factorization of 67683

Prime factors of 67683 are 3, 7, 11, 293. Prime factorization of 67683 in exponential form is:

67683 = 3¹ × 7¹ × 11¹ × 293¹

Step-3: Factors of 67672

List of positive integer factors of 67672 that divides 67672 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 769, 1538, 3076, 6152, 8459, 16918, 33836

Step-4: Factors of 67683

List of positive integer factors of 67683 that divides 67672 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 293, 879, 2051, 3223, 6153, 9669, 22561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67672 and 67683. The biggest common factor number is the GCF number.
So the greatest common factor 67672 and 67683 is 11.

Also check out the Least Common Multiple of 67672 and 67683