What is the Greatest Common Factor of 88179 and 88198?

Greatest common factor (GCF) of 88179 and 88198 is 19.

GCF(88179,88198) = 19

We will now calculate the prime factors of 88179 and 88198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88179 and 88198.

How to find the GCF of 88179 and 88198?

We will first find the prime factorization of 88179 and 88198. After we will calculate the factors of 88179 and 88198 and find the biggest common factor number .

Step-1: Prime Factorization of 88179

Prime factors of 88179 are 3, 7, 13, 17, 19. Prime factorization of 88179 in exponential form is:

88179 = 3¹ × 7¹ × 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 88198

Prime factors of 88198 are 2, 11, 19, 211. Prime factorization of 88198 in exponential form is:

88198 = 2¹ × 11¹ × 19¹ × 211¹

Step-3: Factors of 88179

List of positive integer factors of 88179 that divides 88179 without a remainder.

1, 3, 7, 13, 17, 19, 21, 39, 51, 57, 91, 119, 133, 221, 247, 273, 323, 357, 399, 663, 741, 969, 1547, 1729, 2261, 4199, 4641, 5187, 6783, 12597, 29393

Step-4: Factors of 88198

List of positive integer factors of 88198 that divides 88179 without a remainder.

1, 2, 11, 19, 22, 38, 209, 211, 418, 422, 2321, 4009, 4642, 8018, 44099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88179 and 88198. The biggest common factor number is the GCF number.
So the greatest common factor 88179 and 88198 is 19.

Also check out the Least Common Multiple of 88179 and 88198