What is the Greatest Common Factor of 90252 and 90260?

Greatest common factor (GCF) of 90252 and 90260 is 4.

GCF(90252,90260) = 4

We will now calculate the prime factors of 90252 and 90260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90252 and 90260.

How to find the GCF of 90252 and 90260?

We will first find the prime factorization of 90252 and 90260. After we will calculate the factors of 90252 and 90260 and find the biggest common factor number .

Step-1: Prime Factorization of 90252

Prime factors of 90252 are 2, 3, 23, 109. Prime factorization of 90252 in exponential form is:

90252 = 2² × 3² × 23¹ × 109¹

Step-2: Prime Factorization of 90260

Prime factors of 90260 are 2, 5, 4513. Prime factorization of 90260 in exponential form is:

90260 = 2² × 5¹ × 4513¹

Step-3: Factors of 90252

List of positive integer factors of 90252 that divides 90252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 109, 138, 207, 218, 276, 327, 414, 436, 654, 828, 981, 1308, 1962, 2507, 3924, 5014, 7521, 10028, 15042, 22563, 30084, 45126

Step-4: Factors of 90260

List of positive integer factors of 90260 that divides 90252 without a remainder.

1, 2, 4, 5, 10, 20, 4513, 9026, 18052, 22565, 45130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90252 and 90260. The biggest common factor number is the GCF number.
So the greatest common factor 90252 and 90260 is 4.

Also check out the Least Common Multiple of 90252 and 90260