What is the Greatest Common Factor of 89938 and 89942?

Greatest common factor (GCF) of 89938 and 89942 is 2.

GCF(89938,89942) = 2

We will now calculate the prime factors of 89938 and 89942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89938 and 89942.

How to find the GCF of 89938 and 89942?

We will first find the prime factorization of 89938 and 89942. After we will calculate the factors of 89938 and 89942 and find the biggest common factor number .

Step-1: Prime Factorization of 89938

Prime factors of 89938 are 2, 193, 233. Prime factorization of 89938 in exponential form is:

89938 = 2¹ × 193¹ × 233¹

Step-2: Prime Factorization of 89942

Prime factors of 89942 are 2, 44971. Prime factorization of 89942 in exponential form is:

89942 = 2¹ × 44971¹

Step-3: Factors of 89938

List of positive integer factors of 89938 that divides 89938 without a remainder.

1, 2, 193, 233, 386, 466, 44969

Step-4: Factors of 89942

List of positive integer factors of 89942 that divides 89938 without a remainder.

1, 2, 44971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89938 and 89942. The biggest common factor number is the GCF number.
So the greatest common factor 89938 and 89942 is 2.

Also check out the Least Common Multiple of 89938 and 89942