What is the Greatest Common Factor of 90648 and 90652?

Greatest common factor (GCF) of 90648 and 90652 is 4.

GCF(90648,90652) = 4

We will now calculate the prime factors of 90648 and 90652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90648 and 90652.

How to find the GCF of 90648 and 90652?

We will first find the prime factorization of 90648 and 90652. After we will calculate the factors of 90648 and 90652 and find the biggest common factor number .

Step-1: Prime Factorization of 90648

Prime factors of 90648 are 2, 3, 1259. Prime factorization of 90648 in exponential form is:

90648 = 2³ × 3² × 1259¹

Step-2: Prime Factorization of 90652

Prime factors of 90652 are 2, 131, 173. Prime factorization of 90652 in exponential form is:

90652 = 2² × 131¹ × 173¹

Step-3: Factors of 90648

List of positive integer factors of 90648 that divides 90648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1259, 2518, 3777, 5036, 7554, 10072, 11331, 15108, 22662, 30216, 45324

Step-4: Factors of 90652

List of positive integer factors of 90652 that divides 90648 without a remainder.

1, 2, 4, 131, 173, 262, 346, 524, 692, 22663, 45326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90648 and 90652. The biggest common factor number is the GCF number.
So the greatest common factor 90648 and 90652 is 4.

Also check out the Least Common Multiple of 90648 and 90652