What is the Greatest Common Factor of 90760 and 90780?

Greatest common factor (GCF) of 90760 and 90780 is 20.

GCF(90760,90780) = 20

We will now calculate the prime factors of 90760 and 90780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90760 and 90780.

How to find the GCF of 90760 and 90780?

We will first find the prime factorization of 90760 and 90780. After we will calculate the factors of 90760 and 90780 and find the biggest common factor number .

Step-1: Prime Factorization of 90760

Prime factors of 90760 are 2, 5, 2269. Prime factorization of 90760 in exponential form is:

90760 = 2³ × 5¹ × 2269¹

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 90760

List of positive integer factors of 90760 that divides 90760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2269, 4538, 9076, 11345, 18152, 22690, 45380

Step-4: Factors of 90780

List of positive integer factors of 90780 that divides 90760 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 90760 and 90780. The biggest common factor number is the GCF number.
So the greatest common factor 90760 and 90780 is 20.

Also check out the Least Common Multiple of 90760 and 90780