What is the Greatest Common Factor of 89472 and 89490?

Greatest common factor (GCF) of 89472 and 89490 is 6.

GCF(89472,89490) = 6

We will now calculate the prime factors of 89472 and 89490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89472 and 89490.

How to find the GCF of 89472 and 89490?

We will first find the prime factorization of 89472 and 89490. After we will calculate the factors of 89472 and 89490 and find the biggest common factor number .

Step-1: Prime Factorization of 89472

Prime factors of 89472 are 2, 3, 233. Prime factorization of 89472 in exponential form is:

89472 = 2⁷ × 3¹ × 233¹

Step-2: Prime Factorization of 89490

Prime factors of 89490 are 2, 3, 5, 19, 157. Prime factorization of 89490 in exponential form is:

89490 = 2¹ × 3¹ × 5¹ × 19¹ × 157¹

Step-3: Factors of 89472

List of positive integer factors of 89472 that divides 89472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 233, 384, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184, 14912, 22368, 29824, 44736

Step-4: Factors of 89490

List of positive integer factors of 89490 that divides 89472 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 157, 190, 285, 314, 471, 570, 785, 942, 1570, 2355, 2983, 4710, 5966, 8949, 14915, 17898, 29830, 44745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89472 and 89490. The biggest common factor number is the GCF number.
So the greatest common factor 89472 and 89490 is 6.

Also check out the Least Common Multiple of 89472 and 89490