What is the Greatest Common Factor of 90517 and 90524?

Greatest common factor (GCF) of 90517 and 90524 is 7.

GCF(90517,90524) = 7

We will now calculate the prime factors of 90517 and 90524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90517 and 90524.

How to find the GCF of 90517 and 90524?

We will first find the prime factorization of 90517 and 90524. After we will calculate the factors of 90517 and 90524 and find the biggest common factor number .

Step-1: Prime Factorization of 90517

Prime factors of 90517 are 7, 67, 193. Prime factorization of 90517 in exponential form is:

90517 = 7¹ × 67¹ × 193¹

Step-2: 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-3: Factors of 90517

List of positive integer factors of 90517 that divides 90517 without a remainder.

1, 7, 67, 193, 469, 1351, 12931

Step-4: Factors of 90524

List of positive integer factors of 90524 that divides 90517 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90517 and 90524. The biggest common factor number is the GCF number.
So the greatest common factor 90517 and 90524 is 7.

Also check out the Least Common Multiple of 90517 and 90524