What is the Greatest Common Factor of 35392 and 35406?

Greatest common factor (GCF) of 35392 and 35406 is 14.

GCF(35392,35406) = 14

We will now calculate the prime factors of 35392 and 35406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35392 and 35406.

How to find the GCF of 35392 and 35406?

We will first find the prime factorization of 35392 and 35406. After we will calculate the factors of 35392 and 35406 and find the biggest common factor number .

Step-1: Prime Factorization of 35392

Prime factors of 35392 are 2, 7, 79. Prime factorization of 35392 in exponential form is:

35392 = 2⁶ × 7¹ × 79¹

Step-2: Prime Factorization of 35406

Prime factors of 35406 are 2, 3, 7, 281. Prime factorization of 35406 in exponential form is:

35406 = 2¹ × 3² × 7¹ × 281¹

Step-3: Factors of 35392

List of positive integer factors of 35392 that divides 35392 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 79, 112, 158, 224, 316, 448, 553, 632, 1106, 1264, 2212, 2528, 4424, 5056, 8848, 17696

Step-4: Factors of 35406

List of positive integer factors of 35406 that divides 35392 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 281, 562, 843, 1686, 1967, 2529, 3934, 5058, 5901, 11802, 17703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35392 and 35406. The biggest common factor number is the GCF number.
So the greatest common factor 35392 and 35406 is 14.

Also check out the Least Common Multiple of 35392 and 35406