What is the Greatest Common Factor of 90988 and 91008?

Greatest common factor (GCF) of 90988 and 91008 is 4.

GCF(90988,91008) = 4

We will now calculate the prime factors of 90988 and 91008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90988 and 91008.

How to find the GCF of 90988 and 91008?

We will first find the prime factorization of 90988 and 91008. After we will calculate the factors of 90988 and 91008 and find the biggest common factor number .

Step-1: Prime Factorization of 90988

Prime factors of 90988 are 2, 23, 43. Prime factorization of 90988 in exponential form is:

90988 = 2² × 23² × 43¹

Step-2: Prime Factorization of 91008

Prime factors of 91008 are 2, 3, 79. Prime factorization of 91008 in exponential form is:

91008 = 2⁷ × 3² × 79¹

Step-3: Factors of 90988

List of positive integer factors of 90988 that divides 90988 without a remainder.

1, 2, 4, 23, 43, 46, 86, 92, 172, 529, 989, 1058, 1978, 2116, 3956, 22747, 45494

Step-4: Factors of 91008

List of positive integer factors of 91008 that divides 90988 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 79, 96, 128, 144, 158, 192, 237, 288, 316, 384, 474, 576, 632, 711, 948, 1152, 1264, 1422, 1896, 2528, 2844, 3792, 5056, 5688, 7584, 10112, 11376, 15168, 22752, 30336, 45504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90988 and 91008. The biggest common factor number is the GCF number.
So the greatest common factor 90988 and 91008 is 4.

Also check out the Least Common Multiple of 90988 and 91008