What is the Greatest Common Factor of 89820 and 89835?

Greatest common factor (GCF) of 89820 and 89835 is 15.

GCF(89820,89835) = 15

We will now calculate the prime factors of 89820 and 89835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89820 and 89835.

How to find the GCF of 89820 and 89835?

We will first find the prime factorization of 89820 and 89835. After we will calculate the factors of 89820 and 89835 and find the biggest common factor number .

Step-1: Prime Factorization of 89820

Prime factors of 89820 are 2, 3, 5, 499. Prime factorization of 89820 in exponential form is:

89820 = 2² × 3² × 5¹ × 499¹

Step-2: Prime Factorization of 89835

Prime factors of 89835 are 3, 5, 53, 113. Prime factorization of 89835 in exponential form is:

89835 = 3¹ × 5¹ × 53¹ × 113¹

Step-3: Factors of 89820

List of positive integer factors of 89820 that divides 89820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 499, 998, 1497, 1996, 2495, 2994, 4491, 4990, 5988, 7485, 8982, 9980, 14970, 17964, 22455, 29940, 44910

Step-4: Factors of 89835

List of positive integer factors of 89835 that divides 89820 without a remainder.

1, 3, 5, 15, 53, 113, 159, 265, 339, 565, 795, 1695, 5989, 17967, 29945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89820 and 89835. The biggest common factor number is the GCF number.
So the greatest common factor 89820 and 89835 is 15.

Also check out the Least Common Multiple of 89820 and 89835