What is the Greatest Common Factor of 68436 and 68448?

Greatest common factor (GCF) of 68436 and 68448 is 12.

GCF(68436,68448) = 12

We will now calculate the prime factors of 68436 and 68448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68436 and 68448.

How to find the GCF of 68436 and 68448?

We will first find the prime factorization of 68436 and 68448. After we will calculate the factors of 68436 and 68448 and find the biggest common factor number .

Step-1: Prime Factorization of 68436

Prime factors of 68436 are 2, 3, 1901. Prime factorization of 68436 in exponential form is:

68436 = 2² × 3² × 1901¹

Step-2: Prime Factorization of 68448

Prime factors of 68448 are 2, 3, 23, 31. Prime factorization of 68448 in exponential form is:

68448 = 2⁵ × 3¹ × 23¹ × 31¹

Step-3: Factors of 68436

List of positive integer factors of 68436 that divides 68436 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1901, 3802, 5703, 7604, 11406, 17109, 22812, 34218

Step-4: Factors of 68448

List of positive integer factors of 68448 that divides 68436 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 32, 46, 48, 62, 69, 92, 93, 96, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 736, 744, 992, 1104, 1426, 1488, 2139, 2208, 2852, 2976, 4278, 5704, 8556, 11408, 17112, 22816, 34224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68436 and 68448. The biggest common factor number is the GCF number.
So the greatest common factor 68436 and 68448 is 12.

Also check out the Least Common Multiple of 68436 and 68448