What is the Greatest Common Factor of 89696 and 89700?

Greatest common factor (GCF) of 89696 and 89700 is 4.

GCF(89696,89700) = 4

We will now calculate the prime factors of 89696 and 89700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89696 and 89700.

How to find the GCF of 89696 and 89700?

We will first find the prime factorization of 89696 and 89700. After we will calculate the factors of 89696 and 89700 and find the biggest common factor number .

Step-1: Prime Factorization of 89696

Prime factors of 89696 are 2, 2803. Prime factorization of 89696 in exponential form is:

89696 = 2⁵ × 2803¹

Step-2: 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-3: Factors of 89696

List of positive integer factors of 89696 that divides 89696 without a remainder.

1, 2, 4, 8, 16, 32, 2803, 5606, 11212, 22424, 44848

Step-4: Factors of 89700

List of positive integer factors of 89700 that divides 89696 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89696 and 89700. The biggest common factor number is the GCF number.
So the greatest common factor 89696 and 89700 is 4.

Also check out the Least Common Multiple of 89696 and 89700