What is the Greatest Common Factor of 90072 and 90080?

Greatest common factor (GCF) of 90072 and 90080 is 8.

GCF(90072,90080) = 8

We will now calculate the prime factors of 90072 and 90080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90072 and 90080.

How to find the GCF of 90072 and 90080?

We will first find the prime factorization of 90072 and 90080. After we will calculate the factors of 90072 and 90080 and find the biggest common factor number .

Step-1: Prime Factorization of 90072

Prime factors of 90072 are 2, 3, 139. Prime factorization of 90072 in exponential form is:

90072 = 2³ × 3⁴ × 139¹

Step-2: Prime Factorization of 90080

Prime factors of 90080 are 2, 5, 563. Prime factorization of 90080 in exponential form is:

90080 = 2⁵ × 5¹ × 563¹

Step-3: Factors of 90072

List of positive integer factors of 90072 that divides 90072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 139, 162, 216, 278, 324, 417, 556, 648, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 11259, 15012, 22518, 30024, 45036

Step-4: Factors of 90080

List of positive integer factors of 90080 that divides 90072 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 563, 1126, 2252, 2815, 4504, 5630, 9008, 11260, 18016, 22520, 45040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90072 and 90080. The biggest common factor number is the GCF number.
So the greatest common factor 90072 and 90080 is 8.

Also check out the Least Common Multiple of 90072 and 90080