What is the Greatest Common Factor of 94680 and 94700?

Greatest common factor (GCF) of 94680 and 94700 is 20.

GCF(94680,94700) = 20

We will now calculate the prime factors of 94680 and 94700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94680 and 94700.

How to find the GCF of 94680 and 94700?

We will first find the prime factorization of 94680 and 94700. After we will calculate the factors of 94680 and 94700 and find the biggest common factor number .

Step-1: Prime Factorization of 94680

Prime factors of 94680 are 2, 3, 5, 263. Prime factorization of 94680 in exponential form is:

94680 = 2³ × 3² × 5¹ × 263¹

Step-2: Prime Factorization of 94700

Prime factors of 94700 are 2, 5, 947. Prime factorization of 94700 in exponential form is:

94700 = 2² × 5² × 947¹

Step-3: Factors of 94680

List of positive integer factors of 94680 that divides 94680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 263, 360, 526, 789, 1052, 1315, 1578, 2104, 2367, 2630, 3156, 3945, 4734, 5260, 6312, 7890, 9468, 10520, 11835, 15780, 18936, 23670, 31560, 47340

Step-4: Factors of 94700

List of positive integer factors of 94700 that divides 94680 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 947, 1894, 3788, 4735, 9470, 18940, 23675, 47350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94680 and 94700. The biggest common factor number is the GCF number.
So the greatest common factor 94680 and 94700 is 20.

Also check out the Least Common Multiple of 94680 and 94700