What is the Greatest Common Factor of 94785 and 94800?

Greatest common factor (GCF) of 94785 and 94800 is 15.

GCF(94785,94800) = 15

We will now calculate the prime factors of 94785 and 94800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94785 and 94800.

How to find the GCF of 94785 and 94800?

We will first find the prime factorization of 94785 and 94800. After we will calculate the factors of 94785 and 94800 and find the biggest common factor number .

Step-1: Prime Factorization of 94785

Prime factors of 94785 are 3, 5, 71, 89. Prime factorization of 94785 in exponential form is:

94785 = 3¹ × 5¹ × 71¹ × 89¹

Step-2: Prime Factorization of 94800

Prime factors of 94800 are 2, 3, 5, 79. Prime factorization of 94800 in exponential form is:

94800 = 2⁴ × 3¹ × 5² × 79¹

Step-3: Factors of 94785

List of positive integer factors of 94785 that divides 94785 without a remainder.

1, 3, 5, 15, 71, 89, 213, 267, 355, 445, 1065, 1335, 6319, 18957, 31595

Step-4: Factors of 94800

List of positive integer factors of 94800 that divides 94785 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 79, 80, 100, 120, 150, 158, 200, 237, 240, 300, 316, 395, 400, 474, 600, 632, 790, 948, 1185, 1200, 1264, 1580, 1896, 1975, 2370, 3160, 3792, 3950, 4740, 5925, 6320, 7900, 9480, 11850, 15800, 18960, 23700, 31600, 47400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94785 and 94800. The biggest common factor number is the GCF number.
So the greatest common factor 94785 and 94800 is 15.

Also check out the Least Common Multiple of 94785 and 94800