What is the Greatest Common Factor of 68496 and 68505?

Greatest common factor (GCF) of 68496 and 68505 is 3.

GCF(68496,68505) = 3

We will now calculate the prime factors of 68496 and 68505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68496 and 68505.

How to find the GCF of 68496 and 68505?

We will first find the prime factorization of 68496 and 68505. After we will calculate the factors of 68496 and 68505 and find the biggest common factor number .

Step-1: Prime Factorization of 68496

Prime factors of 68496 are 2, 3, 1427. Prime factorization of 68496 in exponential form is:

68496 = 2⁴ × 3¹ × 1427¹

Step-2: Prime Factorization of 68505

Prime factors of 68505 are 3, 5, 4567. Prime factorization of 68505 in exponential form is:

68505 = 3¹ × 5¹ × 4567¹

Step-3: Factors of 68496

List of positive integer factors of 68496 that divides 68496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1427, 2854, 4281, 5708, 8562, 11416, 17124, 22832, 34248

Step-4: Factors of 68505

List of positive integer factors of 68505 that divides 68496 without a remainder.

1, 3, 5, 15, 4567, 13701, 22835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68496 and 68505. The biggest common factor number is the GCF number.
So the greatest common factor 68496 and 68505 is 3.

Also check out the Least Common Multiple of 68496 and 68505