What is the Greatest Common Factor of 89020 and 89024?

Greatest common factor (GCF) of 89020 and 89024 is 4.

GCF(89020,89024) = 4

We will now calculate the prime factors of 89020 and 89024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89020 and 89024.

How to find the GCF of 89020 and 89024?

We will first find the prime factorization of 89020 and 89024. After we will calculate the factors of 89020 and 89024 and find the biggest common factor number .

Step-1: Prime Factorization of 89020

Prime factors of 89020 are 2, 5, 4451. Prime factorization of 89020 in exponential form is:

89020 = 2² × 5¹ × 4451¹

Step-2: Prime Factorization of 89024

Prime factors of 89024 are 2, 13, 107. Prime factorization of 89024 in exponential form is:

89024 = 2⁶ × 13¹ × 107¹

Step-3: Factors of 89020

List of positive integer factors of 89020 that divides 89020 without a remainder.

1, 2, 4, 5, 10, 20, 4451, 8902, 17804, 22255, 44510

Step-4: Factors of 89024

List of positive integer factors of 89024 that divides 89020 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 107, 208, 214, 416, 428, 832, 856, 1391, 1712, 2782, 3424, 5564, 6848, 11128, 22256, 44512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89020 and 89024. The biggest common factor number is the GCF number.
So the greatest common factor 89020 and 89024 is 4.

Also check out the Least Common Multiple of 89020 and 89024