What is the Greatest Common Factor of 60676 and 60690?

Greatest common factor (GCF) of 60676 and 60690 is 14.

GCF(60676,60690) = 14

We will now calculate the prime factors of 60676 and 60690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60676 and 60690.

How to find the GCF of 60676 and 60690?

We will first find the prime factorization of 60676 and 60690. After we will calculate the factors of 60676 and 60690 and find the biggest common factor number .

Step-1: Prime Factorization of 60676

Prime factors of 60676 are 2, 7, 11, 197. Prime factorization of 60676 in exponential form is:

60676 = 2² × 7¹ × 11¹ × 197¹

Step-2: 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-3: Factors of 60676

List of positive integer factors of 60676 that divides 60676 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 197, 308, 394, 788, 1379, 2167, 2758, 4334, 5516, 8668, 15169, 30338

Step-4: Factors of 60690

List of positive integer factors of 60690 that divides 60676 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60676 and 60690. The biggest common factor number is the GCF number.
So the greatest common factor 60676 and 60690 is 14.

Also check out the Least Common Multiple of 60676 and 60690