What is the Greatest Common Factor of 60725 and 60733?

Greatest common factor (GCF) of 60725 and 60733 is 1.

GCF(60725,60733) = 1

We will now calculate the prime factors of 60725 and 60733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60725 and 60733.

How to find the GCF of 60725 and 60733?

We will first find the prime factorization of 60725 and 60733. After we will calculate the factors of 60725 and 60733 and find the biggest common factor number .

Step-1: Prime Factorization of 60725

Prime factors of 60725 are 5, 7, 347. Prime factorization of 60725 in exponential form is:

60725 = 5² × 7¹ × 347¹

Step-2: Prime Factorization of 60733

Prime factors of 60733 are 60733. Prime factorization of 60733 in exponential form is:

60733 = 60733¹

Step-3: Factors of 60725

List of positive integer factors of 60725 that divides 60725 without a remainder.

1, 5, 7, 25, 35, 175, 347, 1735, 2429, 8675, 12145

Step-4: Factors of 60733

List of positive integer factors of 60733 that divides 60725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60725 and 60733. The biggest common factor number is the GCF number.
So the greatest common factor 60725 and 60733 is 1.

Also check out the Least Common Multiple of 60725 and 60733