What is the Greatest Common Factor of 49413 and 49432?

Greatest common factor (GCF) of 49413 and 49432 is 1.

GCF(49413,49432) = 1

We will now calculate the prime factors of 49413 and 49432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49413 and 49432.

How to find the GCF of 49413 and 49432?

We will first find the prime factorization of 49413 and 49432. After we will calculate the factors of 49413 and 49432 and find the biggest common factor number .

Step-1: Prime Factorization of 49413

Prime factors of 49413 are 3, 7, 13, 181. Prime factorization of 49413 in exponential form is:

49413 = 3¹ × 7¹ × 13¹ × 181¹

Step-2: Prime Factorization of 49432

Prime factors of 49432 are 2, 37, 167. Prime factorization of 49432 in exponential form is:

49432 = 2³ × 37¹ × 167¹

Step-3: Factors of 49413

List of positive integer factors of 49413 that divides 49413 without a remainder.

1, 3, 7, 13, 21, 39, 91, 181, 273, 543, 1267, 2353, 3801, 7059, 16471

Step-4: Factors of 49432

List of positive integer factors of 49432 that divides 49413 without a remainder.

1, 2, 4, 8, 37, 74, 148, 167, 296, 334, 668, 1336, 6179, 12358, 24716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49413 and 49432. The biggest common factor number is the GCF number.
So the greatest common factor 49413 and 49432 is 1.

Also check out the Least Common Multiple of 49413 and 49432