What is the Greatest Common Factor of 60690 and 60710?

Greatest common factor (GCF) of 60690 and 60710 is 10.

GCF(60690,60710) = 10

We will now calculate the prime factors of 60690 and 60710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60690 and 60710.

How to find the GCF of 60690 and 60710?

We will first find the prime factorization of 60690 and 60710. After we will calculate the factors of 60690 and 60710 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 60710

Prime factors of 60710 are 2, 5, 13, 467. Prime factorization of 60710 in exponential form is:

60710 = 2¹ × 5¹ × 13¹ × 467¹

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 60710

List of positive integer factors of 60710 that divides 60690 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 467, 934, 2335, 4670, 6071, 12142, 30355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60690 and 60710. The biggest common factor number is the GCF number.
So the greatest common factor 60690 and 60710 is 10.

Also check out the Least Common Multiple of 60690 and 60710