What is the Greatest Common Factor of 49626 and 49635?

Greatest common factor (GCF) of 49626 and 49635 is 9.

GCF(49626,49635) = 9

We will now calculate the prime factors of 49626 and 49635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49626 and 49635.

How to find the GCF of 49626 and 49635?

We will first find the prime factorization of 49626 and 49635. After we will calculate the factors of 49626 and 49635 and find the biggest common factor number .

Step-1: Prime Factorization of 49626

Prime factors of 49626 are 2, 3, 919. Prime factorization of 49626 in exponential form is:

49626 = 2¹ × 3³ × 919¹

Step-2: 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-3: Factors of 49626

List of positive integer factors of 49626 that divides 49626 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 919, 1838, 2757, 5514, 8271, 16542, 24813

Step-4: Factors of 49635

List of positive integer factors of 49635 that divides 49626 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49626 and 49635. The biggest common factor number is the GCF number.
So the greatest common factor 49626 and 49635 is 9.

Also check out the Least Common Multiple of 49626 and 49635