What is the Greatest Common Factor of 68419 and 68432?

Greatest common factor (GCF) of 68419 and 68432 is 13.

GCF(68419,68432) = 13

We will now calculate the prime factors of 68419 and 68432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68419 and 68432.

How to find the GCF of 68419 and 68432?

We will first find the prime factorization of 68419 and 68432. After we will calculate the factors of 68419 and 68432 and find the biggest common factor number .

Step-1: Prime Factorization of 68419

Prime factors of 68419 are 13, 19, 277. Prime factorization of 68419 in exponential form is:

68419 = 13¹ × 19¹ × 277¹

Step-2: Prime Factorization of 68432

Prime factors of 68432 are 2, 7, 13, 47. Prime factorization of 68432 in exponential form is:

68432 = 2⁴ × 7¹ × 13¹ × 47¹

Step-3: Factors of 68419

List of positive integer factors of 68419 that divides 68419 without a remainder.

1, 13, 19, 247, 277, 3601, 5263

Step-4: Factors of 68432

List of positive integer factors of 68432 that divides 68419 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 47, 52, 56, 91, 94, 104, 112, 182, 188, 208, 329, 364, 376, 611, 658, 728, 752, 1222, 1316, 1456, 2444, 2632, 4277, 4888, 5264, 8554, 9776, 17108, 34216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68419 and 68432. The biggest common factor number is the GCF number.
So the greatest common factor 68419 and 68432 is 13.

Also check out the Least Common Multiple of 68419 and 68432