What is the Greatest Common Factor of 67639 and 67648?

Greatest common factor (GCF) of 67639 and 67648 is 1.

GCF(67639,67648) = 1

We will now calculate the prime factors of 67639 and 67648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67639 and 67648.

How to find the GCF of 67639 and 67648?

We will first find the prime factorization of 67639 and 67648. After we will calculate the factors of 67639 and 67648 and find the biggest common factor number .

Step-1: Prime Factorization of 67639

Prime factors of 67639 are 11, 13, 43. Prime factorization of 67639 in exponential form is:

67639 = 11² × 13¹ × 43¹

Step-2: Prime Factorization of 67648

Prime factors of 67648 are 2, 7, 151. Prime factorization of 67648 in exponential form is:

67648 = 2⁶ × 7¹ × 151¹

Step-3: Factors of 67639

List of positive integer factors of 67639 that divides 67639 without a remainder.

1, 11, 13, 43, 121, 143, 473, 559, 1573, 5203, 6149

Step-4: Factors of 67648

List of positive integer factors of 67648 that divides 67639 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 151, 224, 302, 448, 604, 1057, 1208, 2114, 2416, 4228, 4832, 8456, 9664, 16912, 33824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67639 and 67648. The biggest common factor number is the GCF number.
So the greatest common factor 67639 and 67648 is 1.

Also check out the Least Common Multiple of 67639 and 67648