What is the Greatest Common Factor of 90524 and 90540?

Greatest common factor (GCF) of 90524 and 90540 is 4.

GCF(90524,90540) = 4

We will now calculate the prime factors of 90524 and 90540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90524 and 90540.

How to find the GCF of 90524 and 90540?

We will first find the prime factorization of 90524 and 90540. After we will calculate the factors of 90524 and 90540 and find the biggest common factor number .

Step-1: Prime Factorization of 90524

Prime factors of 90524 are 2, 7, 53, 61. Prime factorization of 90524 in exponential form is:

90524 = 2² × 7¹ × 53¹ × 61¹

Step-2: 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-3: Factors of 90524

List of positive integer factors of 90524 that divides 90524 without a remainder.

1, 2, 4, 7, 14, 28, 53, 61, 106, 122, 212, 244, 371, 427, 742, 854, 1484, 1708, 3233, 6466, 12932, 22631, 45262

Step-4: Factors of 90540

List of positive integer factors of 90540 that divides 90524 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90524 and 90540. The biggest common factor number is the GCF number.
So the greatest common factor 90524 and 90540 is 4.

Also check out the Least Common Multiple of 90524 and 90540