What is the Greatest Common Factor of 89972 and 89986?

Greatest common factor (GCF) of 89972 and 89986 is 2.

GCF(89972,89986) = 2

We will now calculate the prime factors of 89972 and 89986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89972 and 89986.

How to find the GCF of 89972 and 89986?

We will first find the prime factorization of 89972 and 89986. After we will calculate the factors of 89972 and 89986 and find the biggest common factor number .

Step-1: Prime Factorization of 89972

Prime factors of 89972 are 2, 83, 271. Prime factorization of 89972 in exponential form is:

89972 = 2² × 83¹ × 271¹

Step-2: Prime Factorization of 89986

Prime factors of 89986 are 2, 13, 3461. Prime factorization of 89986 in exponential form is:

89986 = 2¹ × 13¹ × 3461¹

Step-3: Factors of 89972

List of positive integer factors of 89972 that divides 89972 without a remainder.

1, 2, 4, 83, 166, 271, 332, 542, 1084, 22493, 44986

Step-4: Factors of 89986

List of positive integer factors of 89986 that divides 89972 without a remainder.

1, 2, 13, 26, 3461, 6922, 44993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89972 and 89986. The biggest common factor number is the GCF number.
So the greatest common factor 89972 and 89986 is 2.

Also check out the Least Common Multiple of 89972 and 89986