What is the Greatest Common Factor of 70680 and 70687?

Greatest common factor (GCF) of 70680 and 70687 is 1.

GCF(70680,70687) = 1

We will now calculate the prime factors of 70680 and 70687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70680 and 70687.

How to find the GCF of 70680 and 70687?

We will first find the prime factorization of 70680 and 70687. After we will calculate the factors of 70680 and 70687 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70687

Prime factors of 70687 are 70687. Prime factorization of 70687 in exponential form is:

70687 = 70687¹

Step-3: Factors of 70680

List of positive integer factors of 70680 that divides 70680 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

Step-4: Factors of 70687

List of positive integer factors of 70687 that divides 70680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70680 and 70687. The biggest common factor number is the GCF number.
So the greatest common factor 70680 and 70687 is 1.

Also check out the Least Common Multiple of 70680 and 70687