What is the Greatest Common Factor of 90756 and 90768?

Greatest common factor (GCF) of 90756 and 90768 is 12.

GCF(90756,90768) = 12

We will now calculate the prime factors of 90756 and 90768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90756 and 90768.

How to find the GCF of 90756 and 90768?

We will first find the prime factorization of 90756 and 90768. After we will calculate the factors of 90756 and 90768 and find the biggest common factor number .

Step-1: Prime Factorization of 90756

Prime factors of 90756 are 2, 3, 2521. Prime factorization of 90756 in exponential form is:

90756 = 2² × 3² × 2521¹

Step-2: Prime Factorization of 90768

Prime factors of 90768 are 2, 3, 31, 61. Prime factorization of 90768 in exponential form is:

90768 = 2⁴ × 3¹ × 31¹ × 61¹

Step-3: Factors of 90756

List of positive integer factors of 90756 that divides 90756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2521, 5042, 7563, 10084, 15126, 22689, 30252, 45378

Step-4: Factors of 90768

List of positive integer factors of 90768 that divides 90756 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 61, 62, 93, 122, 124, 183, 186, 244, 248, 366, 372, 488, 496, 732, 744, 976, 1464, 1488, 1891, 2928, 3782, 5673, 7564, 11346, 15128, 22692, 30256, 45384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90756 and 90768. The biggest common factor number is the GCF number.
So the greatest common factor 90756 and 90768 is 12.

Also check out the Least Common Multiple of 90756 and 90768