What is the Greatest Common Factor of 49206 and 49219?

Greatest common factor (GCF) of 49206 and 49219 is 1.

GCF(49206,49219) = 1

We will now calculate the prime factors of 49206 and 49219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49206 and 49219.

How to find the GCF of 49206 and 49219?

We will first find the prime factorization of 49206 and 49219. After we will calculate the factors of 49206 and 49219 and find the biggest common factor number .

Step-1: Prime Factorization of 49206

Prime factors of 49206 are 2, 3, 59, 139. Prime factorization of 49206 in exponential form is:

49206 = 2¹ × 3¹ × 59¹ × 139¹

Step-2: Prime Factorization of 49219

Prime factors of 49219 are 83, 593. Prime factorization of 49219 in exponential form is:

49219 = 83¹ × 593¹

Step-3: Factors of 49206

List of positive integer factors of 49206 that divides 49206 without a remainder.

1, 2, 3, 6, 59, 118, 139, 177, 278, 354, 417, 834, 8201, 16402, 24603

Step-4: Factors of 49219

List of positive integer factors of 49219 that divides 49206 without a remainder.

1, 83, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49206 and 49219. The biggest common factor number is the GCF number.
So the greatest common factor 49206 and 49219 is 1.

Also check out the Least Common Multiple of 49206 and 49219