What is the Greatest Common Factor of 49725 and 49735?

Greatest common factor (GCF) of 49725 and 49735 is 5.

GCF(49725,49735) = 5

We will now calculate the prime factors of 49725 and 49735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49725 and 49735.

How to find the GCF of 49725 and 49735?

We will first find the prime factorization of 49725 and 49735. After we will calculate the factors of 49725 and 49735 and find the biggest common factor number .

Step-1: Prime Factorization of 49725

Prime factors of 49725 are 3, 5, 13, 17. Prime factorization of 49725 in exponential form is:

49725 = 3² × 5² × 13¹ × 17¹

Step-2: Prime Factorization of 49735

Prime factors of 49735 are 5, 7, 29. Prime factorization of 49735 in exponential form is:

49735 = 5¹ × 7³ × 29¹

Step-3: Factors of 49725

List of positive integer factors of 49725 that divides 49725 without a remainder.

1, 3, 5, 9, 13, 15, 17, 25, 39, 45, 51, 65, 75, 85, 117, 153, 195, 221, 225, 255, 325, 425, 585, 663, 765, 975, 1105, 1275, 1989, 2925, 3315, 3825, 5525, 9945, 16575

Step-4: Factors of 49735

List of positive integer factors of 49735 that divides 49725 without a remainder.

1, 5, 7, 29, 35, 49, 145, 203, 245, 343, 1015, 1421, 1715, 7105, 9947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49725 and 49735. The biggest common factor number is the GCF number.
So the greatest common factor 49725 and 49735 is 5.

Also check out the Least Common Multiple of 49725 and 49735