What is the Greatest Common Factor of 49625 and 49635?

Greatest common factor (GCF) of 49625 and 49635 is 5.

GCF(49625,49635) = 5

We will now calculate the prime factors of 49625 and 49635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49625 and 49635.

How to find the GCF of 49625 and 49635?

We will first find the prime factorization of 49625 and 49635. After we will calculate the factors of 49625 and 49635 and find the biggest common factor number .

Step-1: Prime Factorization of 49625

Prime factors of 49625 are 5, 397. Prime factorization of 49625 in exponential form is:

49625 = 5³ × 397¹

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 49625

List of positive integer factors of 49625 that divides 49625 without a remainder.

1, 5, 25, 125, 397, 1985, 9925

Step-4: Factors of 49635

List of positive integer factors of 49635 that divides 49625 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 49625 and 49635. The biggest common factor number is the GCF number.
So the greatest common factor 49625 and 49635 is 5.

Also check out the Least Common Multiple of 49625 and 49635