What is the Greatest Common Factor of 89950 and 89964?

Greatest common factor (GCF) of 89950 and 89964 is 14.

GCF(89950,89964) = 14

We will now calculate the prime factors of 89950 and 89964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89950 and 89964.

How to find the GCF of 89950 and 89964?

We will first find the prime factorization of 89950 and 89964. After we will calculate the factors of 89950 and 89964 and find the biggest common factor number .

Step-1: Prime Factorization of 89950

Prime factors of 89950 are 2, 5, 7, 257. Prime factorization of 89950 in exponential form is:

89950 = 2¹ × 5² × 7¹ × 257¹

Step-2: Prime Factorization of 89964

Prime factors of 89964 are 2, 3, 7, 17. Prime factorization of 89964 in exponential form is:

89964 = 2² × 3³ × 7² × 17¹

Step-3: Factors of 89950

List of positive integer factors of 89950 that divides 89950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 257, 350, 514, 1285, 1799, 2570, 3598, 6425, 8995, 12850, 17990, 44975

Step-4: Factors of 89964

List of positive integer factors of 89964 that divides 89950 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 27, 28, 34, 36, 42, 49, 51, 54, 63, 68, 84, 98, 102, 108, 119, 126, 147, 153, 189, 196, 204, 238, 252, 294, 306, 357, 378, 441, 459, 476, 588, 612, 714, 756, 833, 882, 918, 1071, 1323, 1428, 1666, 1764, 1836, 2142, 2499, 2646, 3213, 3332, 4284, 4998, 5292, 6426, 7497, 9996, 12852, 14994, 22491, 29988, 44982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89950 and 89964. The biggest common factor number is the GCF number.
So the greatest common factor 89950 and 89964 is 14.

Also check out the Least Common Multiple of 89950 and 89964