What is the Greatest Common Factor of 48322 and 48334?

Greatest common factor (GCF) of 48322 and 48334 is 2.

GCF(48322,48334) = 2

We will now calculate the prime factors of 48322 and 48334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48322 and 48334.

How to find the GCF of 48322 and 48334?

We will first find the prime factorization of 48322 and 48334. After we will calculate the factors of 48322 and 48334 and find the biggest common factor number .

Step-1: Prime Factorization of 48322

Prime factors of 48322 are 2, 37, 653. Prime factorization of 48322 in exponential form is:

48322 = 2¹ × 37¹ × 653¹

Step-2: Prime Factorization of 48334

Prime factors of 48334 are 2, 11, 13. Prime factorization of 48334 in exponential form is:

48334 = 2¹ × 11¹ × 13³

Step-3: Factors of 48322

List of positive integer factors of 48322 that divides 48322 without a remainder.

1, 2, 37, 74, 653, 1306, 24161

Step-4: Factors of 48334

List of positive integer factors of 48334 that divides 48322 without a remainder.

1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 2197, 3718, 4394, 24167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48322 and 48334. The biggest common factor number is the GCF number.
So the greatest common factor 48322 and 48334 is 2.

Also check out the Least Common Multiple of 48322 and 48334