What is the Greatest Common Factor of 90252 and 90263?

Greatest common factor (GCF) of 90252 and 90263 is 1.

GCF(90252,90263) = 1

We will now calculate the prime factors of 90252 and 90263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90252 and 90263.

How to find the GCF of 90252 and 90263?

We will first find the prime factorization of 90252 and 90263. After we will calculate the factors of 90252 and 90263 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 90263

Prime factors of 90263 are 90263. Prime factorization of 90263 in exponential form is:

90263 = 90263¹

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 90263

List of positive integer factors of 90263 that divides 90252 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90252 and 90263. The biggest common factor number is the GCF number.
So the greatest common factor 90252 and 90263 is 1.

Also check out the Least Common Multiple of 90252 and 90263