What is the Greatest Common Factor of 90524 and 90538?

Greatest common factor (GCF) of 90524 and 90538 is 14.

GCF(90524,90538) = 14

We will now calculate the prime factors of 90524 and 90538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90524 and 90538.

How to find the GCF of 90524 and 90538?

We will first find the prime factorization of 90524 and 90538. After we will calculate the factors of 90524 and 90538 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 90538

Prime factors of 90538 are 2, 7, 29, 223. Prime factorization of 90538 in exponential form is:

90538 = 2¹ × 7¹ × 29¹ × 223¹

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 90538

List of positive integer factors of 90538 that divides 90524 without a remainder.

1, 2, 7, 14, 29, 58, 203, 223, 406, 446, 1561, 3122, 6467, 12934, 45269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90524 and 90538. The biggest common factor number is the GCF number.
So the greatest common factor 90524 and 90538 is 14.

Also check out the Least Common Multiple of 90524 and 90538