What is the Greatest Common Factor of 90780 and 90790?

Greatest common factor (GCF) of 90780 and 90790 is 10.

GCF(90780,90790) = 10

We will now calculate the prime factors of 90780 and 90790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90780 and 90790.

How to find the GCF of 90780 and 90790?

We will first find the prime factorization of 90780 and 90790. After we will calculate the factors of 90780 and 90790 and find the biggest common factor number .

Step-1: Prime Factorization of 90780

Prime factors of 90780 are 2, 3, 5, 17, 89. Prime factorization of 90780 in exponential form is:

90780 = 2² × 3¹ × 5¹ × 17¹ × 89¹

Step-2: Prime Factorization of 90790

Prime factors of 90790 are 2, 5, 7, 1297. Prime factorization of 90790 in exponential form is:

90790 = 2¹ × 5¹ × 7¹ × 1297¹

Step-3: Factors of 90780

List of positive integer factors of 90780 that divides 90780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 89, 102, 170, 178, 204, 255, 267, 340, 356, 445, 510, 534, 890, 1020, 1068, 1335, 1513, 1780, 2670, 3026, 4539, 5340, 6052, 7565, 9078, 15130, 18156, 22695, 30260, 45390

Step-4: Factors of 90790

List of positive integer factors of 90790 that divides 90780 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1297, 2594, 6485, 9079, 12970, 18158, 45395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90780 and 90790. The biggest common factor number is the GCF number.
So the greatest common factor 90780 and 90790 is 10.

Also check out the Least Common Multiple of 90780 and 90790