What is the Greatest Common Factor of 70680 and 70700?

Greatest common factor (GCF) of 70680 and 70700 is 20.

GCF(70680,70700) = 20

We will now calculate the prime factors of 70680 and 70700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70680 and 70700.

How to find the GCF of 70680 and 70700?

We will first find the prime factorization of 70680 and 70700. After we will calculate the factors of 70680 and 70700 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 70700

Prime factors of 70700 are 2, 5, 7, 101. Prime factorization of 70700 in exponential form is:

70700 = 2² × 5² × 7¹ × 101¹

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 70700

List of positive integer factors of 70700 that divides 70680 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 101, 140, 175, 202, 350, 404, 505, 700, 707, 1010, 1414, 2020, 2525, 2828, 3535, 5050, 7070, 10100, 14140, 17675, 35350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70680 and 70700. The biggest common factor number is the GCF number.
So the greatest common factor 70680 and 70700 is 20.

Also check out the Least Common Multiple of 70680 and 70700