What is the Greatest Common Factor of 89700 and 89716?

Greatest common factor (GCF) of 89700 and 89716 is 4.

GCF(89700,89716) = 4

We will now calculate the prime factors of 89700 and 89716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89700 and 89716.

How to find the GCF of 89700 and 89716?

We will first find the prime factorization of 89700 and 89716. After we will calculate the factors of 89700 and 89716 and find the biggest common factor number .

Step-1: Prime Factorization of 89700

Prime factors of 89700 are 2, 3, 5, 13, 23. Prime factorization of 89700 in exponential form is:

89700 = 2² × 3¹ × 5² × 13¹ × 23¹

Step-2: Prime Factorization of 89716

Prime factors of 89716 are 2, 11, 2039. Prime factorization of 89716 in exponential form is:

89716 = 2² × 11¹ × 2039¹

Step-3: Factors of 89700

List of positive integer factors of 89700 that divides 89700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 23, 25, 26, 30, 39, 46, 50, 52, 60, 65, 69, 75, 78, 92, 100, 115, 130, 138, 150, 156, 195, 230, 260, 276, 299, 300, 325, 345, 390, 460, 575, 598, 650, 690, 780, 897, 975, 1150, 1196, 1300, 1380, 1495, 1725, 1794, 1950, 2300, 2990, 3450, 3588, 3900, 4485, 5980, 6900, 7475, 8970, 14950, 17940, 22425, 29900, 44850

Step-4: Factors of 89716

List of positive integer factors of 89716 that divides 89700 without a remainder.

1, 2, 4, 11, 22, 44, 2039, 4078, 8156, 22429, 44858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89700 and 89716. The biggest common factor number is the GCF number.
So the greatest common factor 89700 and 89716 is 4.

Also check out the Least Common Multiple of 89700 and 89716