What is the Greatest Common Factor of 60725 and 60739?

Greatest common factor (GCF) of 60725 and 60739 is 7.

GCF(60725,60739) = 7

We will now calculate the prime factors of 60725 and 60739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60725 and 60739.

How to find the GCF of 60725 and 60739?

We will first find the prime factorization of 60725 and 60739. After we will calculate the factors of 60725 and 60739 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 60739

Prime factors of 60739 are 7, 8677. Prime factorization of 60739 in exponential form is:

60739 = 7¹ × 8677¹

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 60739

List of positive integer factors of 60739 that divides 60725 without a remainder.

1, 7, 8677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60725 and 60739. The biggest common factor number is the GCF number.
So the greatest common factor 60725 and 60739 is 7.

Also check out the Least Common Multiple of 60725 and 60739