What is the Greatest Common Factor of 89941 and 89950?

Greatest common factor (GCF) of 89941 and 89950 is 1.

GCF(89941,89950) = 1

We will now calculate the prime factors of 89941 and 89950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89941 and 89950.

How to find the GCF of 89941 and 89950?

We will first find the prime factorization of 89941 and 89950. After we will calculate the factors of 89941 and 89950 and find the biggest common factor number .

Step-1: Prime Factorization of 89941

Prime factors of 89941 are 53, 1697. Prime factorization of 89941 in exponential form is:

89941 = 53¹ × 1697¹

Step-2: 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-3: Factors of 89941

List of positive integer factors of 89941 that divides 89941 without a remainder.

1, 53, 1697

Step-4: Factors of 89950

List of positive integer factors of 89950 that divides 89941 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89941 and 89950. The biggest common factor number is the GCF number.
So the greatest common factor 89941 and 89950 is 1.

Also check out the Least Common Multiple of 89941 and 89950