What is the Greatest Common Factor of 68352 and 68362?

Greatest common factor (GCF) of 68352 and 68362 is 2.

GCF(68352,68362) = 2

We will now calculate the prime factors of 68352 and 68362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68352 and 68362.

How to find the GCF of 68352 and 68362?

We will first find the prime factorization of 68352 and 68362. After we will calculate the factors of 68352 and 68362 and find the biggest common factor number .

Step-1: Prime Factorization of 68352

Prime factors of 68352 are 2, 3, 89. Prime factorization of 68352 in exponential form is:

68352 = 2⁸ × 3¹ × 89¹

Step-2: Prime Factorization of 68362

Prime factors of 68362 are 2, 7, 19, 257. Prime factorization of 68362 in exponential form is:

68362 = 2¹ × 7¹ × 19¹ × 257¹

Step-3: Factors of 68352

List of positive integer factors of 68352 that divides 68352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 89, 96, 128, 178, 192, 256, 267, 356, 384, 534, 712, 768, 1068, 1424, 2136, 2848, 4272, 5696, 8544, 11392, 17088, 22784, 34176

Step-4: Factors of 68362

List of positive integer factors of 68362 that divides 68352 without a remainder.

1, 2, 7, 14, 19, 38, 133, 257, 266, 514, 1799, 3598, 4883, 9766, 34181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68352 and 68362. The biggest common factor number is the GCF number.
So the greatest common factor 68352 and 68362 is 2.

Also check out the Least Common Multiple of 68352 and 68362