What is the Greatest Common Factor of 60664 and 60680?

Greatest common factor (GCF) of 60664 and 60680 is 8.

GCF(60664,60680) = 8

We will now calculate the prime factors of 60664 and 60680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60664 and 60680.

How to find the GCF of 60664 and 60680?

We will first find the prime factorization of 60664 and 60680. After we will calculate the factors of 60664 and 60680 and find the biggest common factor number .

Step-1: Prime Factorization of 60664

Prime factors of 60664 are 2, 7583. Prime factorization of 60664 in exponential form is:

60664 = 2³ × 7583¹

Step-2: Prime Factorization of 60680

Prime factors of 60680 are 2, 5, 37, 41. Prime factorization of 60680 in exponential form is:

60680 = 2³ × 5¹ × 37¹ × 41¹

Step-3: Factors of 60664

List of positive integer factors of 60664 that divides 60664 without a remainder.

1, 2, 4, 8, 7583, 15166, 30332

Step-4: Factors of 60680

List of positive integer factors of 60680 that divides 60664 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 41, 74, 82, 148, 164, 185, 205, 296, 328, 370, 410, 740, 820, 1480, 1517, 1640, 3034, 6068, 7585, 12136, 15170, 30340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60664 and 60680. The biggest common factor number is the GCF number.
So the greatest common factor 60664 and 60680 is 8.

Also check out the Least Common Multiple of 60664 and 60680