What is the Greatest Common Factor of 49635 and 49649?

Greatest common factor (GCF) of 49635 and 49649 is 1.

GCF(49635,49649) = 1

We will now calculate the prime factors of 49635 and 49649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49635 and 49649.

How to find the GCF of 49635 and 49649?

We will first find the prime factorization of 49635 and 49649. After we will calculate the factors of 49635 and 49649 and find the biggest common factor number .

Step-1: Prime Factorization of 49635

Prime factors of 49635 are 3, 5, 1103. Prime factorization of 49635 in exponential form is:

49635 = 3² × 5¹ × 1103¹

Step-2: Prime Factorization of 49649

Prime factors of 49649 are 131, 379. Prime factorization of 49649 in exponential form is:

49649 = 131¹ × 379¹

Step-3: Factors of 49635

List of positive integer factors of 49635 that divides 49635 without a remainder.

1, 3, 5, 9, 15, 45, 1103, 3309, 5515, 9927, 16545

Step-4: Factors of 49649

List of positive integer factors of 49649 that divides 49635 without a remainder.

1, 131, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49635 and 49649. The biggest common factor number is the GCF number.
So the greatest common factor 49635 and 49649 is 1.

Also check out the Least Common Multiple of 49635 and 49649