What is the Greatest Common Factor of 61680 and 61685?

Greatest common factor (GCF) of 61680 and 61685 is 5.

GCF(61680,61685) = 5

We will now calculate the prime factors of 61680 and 61685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61680 and 61685.

How to find the GCF of 61680 and 61685?

We will first find the prime factorization of 61680 and 61685. After we will calculate the factors of 61680 and 61685 and find the biggest common factor number .

Step-1: Prime Factorization of 61680

Prime factors of 61680 are 2, 3, 5, 257. Prime factorization of 61680 in exponential form is:

61680 = 2⁴ × 3¹ × 5¹ × 257¹

Step-2: Prime Factorization of 61685

Prime factors of 61685 are 5, 13, 73. Prime factorization of 61685 in exponential form is:

61685 = 5¹ × 13² × 73¹

Step-3: Factors of 61680

List of positive integer factors of 61680 that divides 61680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 257, 514, 771, 1028, 1285, 1542, 2056, 2570, 3084, 3855, 4112, 5140, 6168, 7710, 10280, 12336, 15420, 20560, 30840

Step-4: Factors of 61685

List of positive integer factors of 61685 that divides 61680 without a remainder.

1, 5, 13, 65, 73, 169, 365, 845, 949, 4745, 12337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61680 and 61685. The biggest common factor number is the GCF number.
So the greatest common factor 61680 and 61685 is 5.

Also check out the Least Common Multiple of 61680 and 61685