What is the Greatest Common Factor of 90510 and 90524?

Greatest common factor (GCF) of 90510 and 90524 is 14.

GCF(90510,90524) = 14

We will now calculate the prime factors of 90510 and 90524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90510 and 90524.

How to find the GCF of 90510 and 90524?

We will first find the prime factorization of 90510 and 90524. After we will calculate the factors of 90510 and 90524 and find the biggest common factor number .

Step-1: Prime Factorization of 90510

Prime factors of 90510 are 2, 3, 5, 7, 431. Prime factorization of 90510 in exponential form is:

90510 = 2¹ × 3¹ × 5¹ × 7¹ × 431¹

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 90510

List of positive integer factors of 90510 that divides 90510 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 431, 862, 1293, 2155, 2586, 3017, 4310, 6034, 6465, 9051, 12930, 15085, 18102, 30170, 45255

Step-4: Factors of 90524

List of positive integer factors of 90524 that divides 90510 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 90510 and 90524. The biggest common factor number is the GCF number.
So the greatest common factor 90510 and 90524 is 14.

Also check out the Least Common Multiple of 90510 and 90524