What is the Greatest Common Factor of 86949 and 86961?

Greatest common factor (GCF) of 86949 and 86961 is 3.

GCF(86949,86961) = 3

We will now calculate the prime factors of 86949 and 86961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86949 and 86961.

How to find the GCF of 86949 and 86961?

We will first find the prime factorization of 86949 and 86961. After we will calculate the factors of 86949 and 86961 and find the biggest common factor number .

Step-1: Prime Factorization of 86949

Prime factors of 86949 are 3, 9661. Prime factorization of 86949 in exponential form is:

86949 = 3² × 9661¹

Step-2: Prime Factorization of 86961

Prime factors of 86961 are 3, 7, 41, 101. Prime factorization of 86961 in exponential form is:

86961 = 3¹ × 7¹ × 41¹ × 101¹

Step-3: Factors of 86949

List of positive integer factors of 86949 that divides 86949 without a remainder.

1, 3, 9, 9661, 28983

Step-4: Factors of 86961

List of positive integer factors of 86961 that divides 86949 without a remainder.

1, 3, 7, 21, 41, 101, 123, 287, 303, 707, 861, 2121, 4141, 12423, 28987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86949 and 86961. The biggest common factor number is the GCF number.
So the greatest common factor 86949 and 86961 is 3.

Also check out the Least Common Multiple of 86949 and 86961