What is the Greatest Common Factor of 70665 and 70680?

Greatest common factor (GCF) of 70665 and 70680 is 15.

GCF(70665,70680) = 15

We will now calculate the prime factors of 70665 and 70680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70665 and 70680.

How to find the GCF of 70665 and 70680?

We will first find the prime factorization of 70665 and 70680. After we will calculate the factors of 70665 and 70680 and find the biggest common factor number .

Step-1: Prime Factorization of 70665

Prime factors of 70665 are 3, 5, 7, 673. Prime factorization of 70665 in exponential form is:

70665 = 3¹ × 5¹ × 7¹ × 673¹

Step-2: Prime Factorization of 70680

Prime factors of 70680 are 2, 3, 5, 19, 31. Prime factorization of 70680 in exponential form is:

70680 = 2³ × 3¹ × 5¹ × 19¹ × 31¹

Step-3: Factors of 70665

List of positive integer factors of 70665 that divides 70665 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 673, 2019, 3365, 4711, 10095, 14133, 23555

Step-4: Factors of 70680

List of positive integer factors of 70680 that divides 70665 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 31, 38, 40, 57, 60, 62, 76, 93, 95, 114, 120, 124, 152, 155, 186, 190, 228, 248, 285, 310, 372, 380, 456, 465, 570, 589, 620, 744, 760, 930, 1140, 1178, 1240, 1767, 1860, 2280, 2356, 2945, 3534, 3720, 4712, 5890, 7068, 8835, 11780, 14136, 17670, 23560, 35340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70665 and 70680. The biggest common factor number is the GCF number.
So the greatest common factor 70665 and 70680 is 15.

Also check out the Least Common Multiple of 70665 and 70680