What is the Greatest Common Factor of 75191 and 75208?

Greatest common factor (GCF) of 75191 and 75208 is 17.

GCF(75191,75208) = 17

We will now calculate the prime factors of 75191 and 75208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75191 and 75208.

How to find the GCF of 75191 and 75208?

We will first find the prime factorization of 75191 and 75208. After we will calculate the factors of 75191 and 75208 and find the biggest common factor number .

Step-1: Prime Factorization of 75191

Prime factors of 75191 are 17, 4423. Prime factorization of 75191 in exponential form is:

75191 = 17¹ × 4423¹

Step-2: Prime Factorization of 75208

Prime factors of 75208 are 2, 7, 17, 79. Prime factorization of 75208 in exponential form is:

75208 = 2³ × 7¹ × 17¹ × 79¹

Step-3: Factors of 75191

List of positive integer factors of 75191 that divides 75191 without a remainder.

1, 17, 4423

Step-4: Factors of 75208

List of positive integer factors of 75208 that divides 75191 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 79, 119, 136, 158, 238, 316, 476, 553, 632, 952, 1106, 1343, 2212, 2686, 4424, 5372, 9401, 10744, 18802, 37604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75191 and 75208. The biggest common factor number is the GCF number.
So the greatest common factor 75191 and 75208 is 17.

Also check out the Least Common Multiple of 75191 and 75208