What is the Greatest Common Factor of 94986 and 95004?

Greatest common factor (GCF) of 94986 and 95004 is 18.

GCF(94986,95004) = 18

We will now calculate the prime factors of 94986 and 95004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94986 and 95004.

How to find the GCF of 94986 and 95004?

We will first find the prime factorization of 94986 and 95004. After we will calculate the factors of 94986 and 95004 and find the biggest common factor number .

Step-1: Prime Factorization of 94986

Prime factors of 94986 are 2, 3, 1759. Prime factorization of 94986 in exponential form is:

94986 = 2¹ × 3³ × 1759¹

Step-2: Prime Factorization of 95004

Prime factors of 95004 are 2, 3, 7, 13, 29. Prime factorization of 95004 in exponential form is:

95004 = 2² × 3² × 7¹ × 13¹ × 29¹

Step-3: Factors of 94986

List of positive integer factors of 94986 that divides 94986 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1759, 3518, 5277, 10554, 15831, 31662, 47493

Step-4: Factors of 95004

List of positive integer factors of 95004 that divides 94986 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 29, 36, 39, 42, 52, 58, 63, 78, 84, 87, 91, 116, 117, 126, 156, 174, 182, 203, 234, 252, 261, 273, 348, 364, 377, 406, 468, 522, 546, 609, 754, 812, 819, 1044, 1092, 1131, 1218, 1508, 1638, 1827, 2262, 2436, 2639, 3276, 3393, 3654, 4524, 5278, 6786, 7308, 7917, 10556, 13572, 15834, 23751, 31668, 47502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94986 and 95004. The biggest common factor number is the GCF number.
So the greatest common factor 94986 and 95004 is 18.

Also check out the Least Common Multiple of 94986 and 95004