What is the Greatest Common Factor of 60690 and 60704?

Greatest common factor (GCF) of 60690 and 60704 is 14.

GCF(60690,60704) = 14

We will now calculate the prime factors of 60690 and 60704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60690 and 60704.

How to find the GCF of 60690 and 60704?

We will first find the prime factorization of 60690 and 60704. After we will calculate the factors of 60690 and 60704 and find the biggest common factor number .

Step-1: Prime Factorization of 60690

Prime factors of 60690 are 2, 3, 5, 7, 17. Prime factorization of 60690 in exponential form is:

60690 = 2¹ × 3¹ × 5¹ × 7¹ × 17²

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 60690

List of positive integer factors of 60690 that divides 60690 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 289, 357, 510, 578, 595, 714, 867, 1190, 1445, 1734, 1785, 2023, 2890, 3570, 4046, 4335, 6069, 8670, 10115, 12138, 20230, 30345

Step-4: Factors of 60704

List of positive integer factors of 60704 that divides 60690 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 60690 and 60704. The biggest common factor number is the GCF number.
So the greatest common factor 60690 and 60704 is 14.

Also check out the Least Common Multiple of 60690 and 60704