What is the Greatest Common Factor of 49312 and 49322?

Greatest common factor (GCF) of 49312 and 49322 is 2.

GCF(49312,49322) = 2

We will now calculate the prime factors of 49312 and 49322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49312 and 49322.

How to find the GCF of 49312 and 49322?

We will first find the prime factorization of 49312 and 49322. After we will calculate the factors of 49312 and 49322 and find the biggest common factor number .

Step-1: Prime Factorization of 49312

Prime factors of 49312 are 2, 23, 67. Prime factorization of 49312 in exponential form is:

49312 = 2⁵ × 23¹ × 67¹

Step-2: Prime Factorization of 49322

Prime factors of 49322 are 2, 7, 13, 271. Prime factorization of 49322 in exponential form is:

49322 = 2¹ × 7¹ × 13¹ × 271¹

Step-3: Factors of 49312

List of positive integer factors of 49312 that divides 49312 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 67, 92, 134, 184, 268, 368, 536, 736, 1072, 1541, 2144, 3082, 6164, 12328, 24656

Step-4: Factors of 49322

List of positive integer factors of 49322 that divides 49312 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 271, 542, 1897, 3523, 3794, 7046, 24661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49312 and 49322. The biggest common factor number is the GCF number.
So the greatest common factor 49312 and 49322 is 2.

Also check out the Least Common Multiple of 49312 and 49322