What is the Greatest Common Factor of 90770 and 90780?

Greatest common factor (GCF) of 90770 and 90780 is 10.

GCF(90770,90780) = 10

We will now calculate the prime factors of 90770 and 90780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90770 and 90780.

How to find the GCF of 90770 and 90780?

We will first find the prime factorization of 90770 and 90780. After we will calculate the factors of 90770 and 90780 and find the biggest common factor number .

Step-1: Prime Factorization of 90770

Prime factors of 90770 are 2, 5, 29, 313. Prime factorization of 90770 in exponential form is:

90770 = 2¹ × 5¹ × 29¹ × 313¹

Step-2: 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-3: Factors of 90770

List of positive integer factors of 90770 that divides 90770 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 313, 626, 1565, 3130, 9077, 18154, 45385

Step-4: Factors of 90780

List of positive integer factors of 90780 that divides 90770 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90770 and 90780. The biggest common factor number is the GCF number.
So the greatest common factor 90770 and 90780 is 10.

Also check out the Least Common Multiple of 90770 and 90780