What is the Greatest Common Factor of 60697 and 60704?

Greatest common factor (GCF) of 60697 and 60704 is 7.

GCF(60697,60704) = 7

We will now calculate the prime factors of 60697 and 60704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60697 and 60704.

How to find the GCF of 60697 and 60704?

We will first find the prime factorization of 60697 and 60704. After we will calculate the factors of 60697 and 60704 and find the biggest common factor number .

Step-1: Prime Factorization of 60697

Prime factors of 60697 are 7, 13, 23, 29. Prime factorization of 60697 in exponential form is:

60697 = 7¹ × 13¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 60697

List of positive integer factors of 60697 that divides 60697 without a remainder.

1, 7, 13, 23, 29, 91, 161, 203, 299, 377, 667, 2093, 2639, 4669, 8671

Step-4: Factors of 60704

List of positive integer factors of 60704 that divides 60697 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60697 and 60704. The biggest common factor number is the GCF number.
So the greatest common factor 60697 and 60704 is 7.

Also check out the Least Common Multiple of 60697 and 60704