What is the Greatest Common Factor of 89480 and 89492?

Greatest common factor (GCF) of 89480 and 89492 is 4.

GCF(89480,89492) = 4

We will now calculate the prime factors of 89480 and 89492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89480 and 89492.

How to find the GCF of 89480 and 89492?

We will first find the prime factorization of 89480 and 89492. After we will calculate the factors of 89480 and 89492 and find the biggest common factor number .

Step-1: Prime Factorization of 89480

Prime factors of 89480 are 2, 5, 2237. Prime factorization of 89480 in exponential form is:

89480 = 2³ × 5¹ × 2237¹

Step-2: Prime Factorization of 89492

Prime factors of 89492 are 2, 13, 1721. Prime factorization of 89492 in exponential form is:

89492 = 2² × 13¹ × 1721¹

Step-3: Factors of 89480

List of positive integer factors of 89480 that divides 89480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2237, 4474, 8948, 11185, 17896, 22370, 44740

Step-4: Factors of 89492

List of positive integer factors of 89492 that divides 89480 without a remainder.

1, 2, 4, 13, 26, 52, 1721, 3442, 6884, 22373, 44746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89480 and 89492. The biggest common factor number is the GCF number.
So the greatest common factor 89480 and 89492 is 4.

Also check out the Least Common Multiple of 89480 and 89492