What is the Greatest Common Factor of 90540 and 90560?

Greatest common factor (GCF) of 90540 and 90560 is 20.

GCF(90540,90560) = 20

We will now calculate the prime factors of 90540 and 90560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90540 and 90560.

How to find the GCF of 90540 and 90560?

We will first find the prime factorization of 90540 and 90560. After we will calculate the factors of 90540 and 90560 and find the biggest common factor number .

Step-1: Prime Factorization of 90540

Prime factors of 90540 are 2, 3, 5, 503. Prime factorization of 90540 in exponential form is:

90540 = 2² × 3² × 5¹ × 503¹

Step-2: Prime Factorization of 90560

Prime factors of 90560 are 2, 5, 283. Prime factorization of 90560 in exponential form is:

90560 = 2⁶ × 5¹ × 283¹

Step-3: Factors of 90540

List of positive integer factors of 90540 that divides 90540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 503, 1006, 1509, 2012, 2515, 3018, 4527, 5030, 6036, 7545, 9054, 10060, 15090, 18108, 22635, 30180, 45270

Step-4: Factors of 90560

List of positive integer factors of 90560 that divides 90540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 283, 320, 566, 1132, 1415, 2264, 2830, 4528, 5660, 9056, 11320, 18112, 22640, 45280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90540 and 90560. The biggest common factor number is the GCF number.
So the greatest common factor 90540 and 90560 is 20.

Also check out the Least Common Multiple of 90540 and 90560