What is the Greatest Common Factor of 59722 and 59735?

Greatest common factor (GCF) of 59722 and 59735 is 13.

GCF(59722,59735) = 13

We will now calculate the prime factors of 59722 and 59735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59722 and 59735.

How to find the GCF of 59722 and 59735?

We will first find the prime factorization of 59722 and 59735. After we will calculate the factors of 59722 and 59735 and find the biggest common factor number .

Step-1: Prime Factorization of 59722

Prime factors of 59722 are 2, 13, 2297. Prime factorization of 59722 in exponential form is:

59722 = 2¹ × 13¹ × 2297¹

Step-2: Prime Factorization of 59735

Prime factors of 59735 are 5, 13, 919. Prime factorization of 59735 in exponential form is:

59735 = 5¹ × 13¹ × 919¹

Step-3: Factors of 59722

List of positive integer factors of 59722 that divides 59722 without a remainder.

1, 2, 13, 26, 2297, 4594, 29861

Step-4: Factors of 59735

List of positive integer factors of 59735 that divides 59722 without a remainder.

1, 5, 13, 65, 919, 4595, 11947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59722 and 59735. The biggest common factor number is the GCF number.
So the greatest common factor 59722 and 59735 is 13.

Also check out the Least Common Multiple of 59722 and 59735