What is the Greatest Common Factor of 90978 and 90987?

Greatest common factor (GCF) of 90978 and 90987 is 3.

GCF(90978,90987) = 3

We will now calculate the prime factors of 90978 and 90987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90978 and 90987.

How to find the GCF of 90978 and 90987?

We will first find the prime factorization of 90978 and 90987. After we will calculate the factors of 90978 and 90987 and find the biggest common factor number .

Step-1: Prime Factorization of 90978

Prime factors of 90978 are 2, 3, 59, 257. Prime factorization of 90978 in exponential form is:

90978 = 2¹ × 3¹ × 59¹ × 257¹

Step-2: Prime Factorization of 90987

Prime factors of 90987 are 3, 13, 2333. Prime factorization of 90987 in exponential form is:

90987 = 3¹ × 13¹ × 2333¹

Step-3: Factors of 90978

List of positive integer factors of 90978 that divides 90978 without a remainder.

1, 2, 3, 6, 59, 118, 177, 257, 354, 514, 771, 1542, 15163, 30326, 45489

Step-4: Factors of 90987

List of positive integer factors of 90987 that divides 90978 without a remainder.

1, 3, 13, 39, 2333, 6999, 30329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90978 and 90987. The biggest common factor number is the GCF number.
So the greatest common factor 90978 and 90987 is 3.

Also check out the Least Common Multiple of 90978 and 90987