What is the Greatest Common Factor of 60704 and 60718?

Greatest common factor (GCF) of 60704 and 60718 is 14.

GCF(60704,60718) = 14

We will now calculate the prime factors of 60704 and 60718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60704 and 60718.

How to find the GCF of 60704 and 60718?

We will first find the prime factorization of 60704 and 60718. After we will calculate the factors of 60704 and 60718 and find the biggest common factor number .

Step-1: Prime Factorization of 60704

Prime factors of 60704 are 2, 7, 271. Prime factorization of 60704 in exponential form is:

60704 = 2⁵ × 7¹ × 271¹

Step-2: Prime Factorization of 60718

Prime factors of 60718 are 2, 7, 4337. Prime factorization of 60718 in exponential form is:

60718 = 2¹ × 7¹ × 4337¹

Step-3: Factors of 60704

List of positive integer factors of 60704 that divides 60704 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 271, 542, 1084, 1897, 2168, 3794, 4336, 7588, 8672, 15176, 30352

Step-4: Factors of 60718

List of positive integer factors of 60718 that divides 60704 without a remainder.

1, 2, 7, 14, 4337, 8674, 30359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60704 and 60718. The biggest common factor number is the GCF number.
So the greatest common factor 60704 and 60718 is 14.

Also check out the Least Common Multiple of 60704 and 60718