What is the Greatest Common Factor of 89949 and 89961?

Greatest common factor (GCF) of 89949 and 89961 is 3.

GCF(89949,89961) = 3

We will now calculate the prime factors of 89949 and 89961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89949 and 89961.

How to find the GCF of 89949 and 89961?

We will first find the prime factorization of 89949 and 89961. After we will calculate the factors of 89949 and 89961 and find the biggest common factor number .

Step-1: Prime Factorization of 89949

Prime factors of 89949 are 3, 29983. Prime factorization of 89949 in exponential form is:

89949 = 3¹ × 29983¹

Step-2: Prime Factorization of 89961

Prime factors of 89961 are 3, 157, 191. Prime factorization of 89961 in exponential form is:

89961 = 3¹ × 157¹ × 191¹

Step-3: Factors of 89949

List of positive integer factors of 89949 that divides 89949 without a remainder.

1, 3, 29983

Step-4: Factors of 89961

List of positive integer factors of 89961 that divides 89949 without a remainder.

1, 3, 157, 191, 471, 573, 29987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89949 and 89961. The biggest common factor number is the GCF number.
So the greatest common factor 89949 and 89961 is 3.

Also check out the Least Common Multiple of 89949 and 89961