What is the Greatest Common Factor of 91238 and 91245?

Greatest common factor (GCF) of 91238 and 91245 is 7.

GCF(91238,91245) = 7

We will now calculate the prime factors of 91238 and 91245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91238 and 91245.

How to find the GCF of 91238 and 91245?

We will first find the prime factorization of 91238 and 91245. After we will calculate the factors of 91238 and 91245 and find the biggest common factor number .

Step-1: Prime Factorization of 91238

Prime factors of 91238 are 2, 7, 19. Prime factorization of 91238 in exponential form is:

91238 = 2¹ × 7⁴ × 19¹

Step-2: Prime Factorization of 91245

Prime factors of 91245 are 3, 5, 7, 11, 79. Prime factorization of 91245 in exponential form is:

91245 = 3¹ × 5¹ × 7¹ × 11¹ × 79¹

Step-3: Factors of 91238

List of positive integer factors of 91238 that divides 91238 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 343, 686, 931, 1862, 2401, 4802, 6517, 13034, 45619

Step-4: Factors of 91245

List of positive integer factors of 91245 that divides 91238 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 79, 105, 165, 231, 237, 385, 395, 553, 869, 1155, 1185, 1659, 2607, 2765, 4345, 6083, 8295, 13035, 18249, 30415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91238 and 91245. The biggest common factor number is the GCF number.
So the greatest common factor 91238 and 91245 is 7.

Also check out the Least Common Multiple of 91238 and 91245