What is the Greatest Common Factor of 91000 and 91008?

Greatest common factor (GCF) of 91000 and 91008 is 8.

GCF(91000,91008) = 8

We will now calculate the prime factors of 91000 and 91008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91000 and 91008.

How to find the GCF of 91000 and 91008?

We will first find the prime factorization of 91000 and 91008. After we will calculate the factors of 91000 and 91008 and find the biggest common factor number .

Step-1: Prime Factorization of 91000

Prime factors of 91000 are 2, 5, 7, 13. Prime factorization of 91000 in exponential form is:

91000 = 2³ × 5³ × 7¹ × 13¹

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 91000

List of positive integer factors of 91000 that divides 91000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 25, 26, 28, 35, 40, 50, 52, 56, 65, 70, 91, 100, 104, 125, 130, 140, 175, 182, 200, 250, 260, 280, 325, 350, 364, 455, 500, 520, 650, 700, 728, 875, 910, 1000, 1300, 1400, 1625, 1750, 1820, 2275, 2600, 3250, 3500, 3640, 4550, 6500, 7000, 9100, 11375, 13000, 18200, 22750, 45500

Step-4: Factors of 91008

List of positive integer factors of 91008 that divides 91000 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 91000 and 91008. The biggest common factor number is the GCF number.
So the greatest common factor 91000 and 91008 is 8.

Also check out the Least Common Multiple of 91000 and 91008