What is the Greatest Common Factor of 53705 and 53725?

Greatest common factor (GCF) of 53705 and 53725 is 5.

GCF(53705,53725) = 5

We will now calculate the prime factors of 53705 and 53725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53705 and 53725.

How to find the GCF of 53705 and 53725?

We will first find the prime factorization of 53705 and 53725. After we will calculate the factors of 53705 and 53725 and find the biggest common factor number .

Step-1: Prime Factorization of 53705

Prime factors of 53705 are 5, 23, 467. Prime factorization of 53705 in exponential form is:

53705 = 5¹ × 23¹ × 467¹

Step-2: Prime Factorization of 53725

Prime factors of 53725 are 5, 7, 307. Prime factorization of 53725 in exponential form is:

53725 = 5² × 7¹ × 307¹

Step-3: Factors of 53705

List of positive integer factors of 53705 that divides 53705 without a remainder.

1, 5, 23, 115, 467, 2335, 10741

Step-4: Factors of 53725

List of positive integer factors of 53725 that divides 53705 without a remainder.

1, 5, 7, 25, 35, 175, 307, 1535, 2149, 7675, 10745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53705 and 53725. The biggest common factor number is the GCF number.
So the greatest common factor 53705 and 53725 is 5.

Also check out the Least Common Multiple of 53705 and 53725