What is the Greatest Common Factor of 95676 and 95693?

Greatest common factor (GCF) of 95676 and 95693 is 17.

GCF(95676,95693) = 17

We will now calculate the prime factors of 95676 and 95693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95676 and 95693.

How to find the GCF of 95676 and 95693?

We will first find the prime factorization of 95676 and 95693. After we will calculate the factors of 95676 and 95693 and find the biggest common factor number .

Step-1: Prime Factorization of 95676

Prime factors of 95676 are 2, 3, 7, 17, 67. Prime factorization of 95676 in exponential form is:

95676 = 2² × 3¹ × 7¹ × 17¹ × 67¹

Step-2: Prime Factorization of 95693

Prime factors of 95693 are 13, 17, 433. Prime factorization of 95693 in exponential form is:

95693 = 13¹ × 17¹ × 433¹

Step-3: Factors of 95676

List of positive integer factors of 95676 that divides 95676 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 67, 68, 84, 102, 119, 134, 201, 204, 238, 268, 357, 402, 469, 476, 714, 804, 938, 1139, 1407, 1428, 1876, 2278, 2814, 3417, 4556, 5628, 6834, 7973, 13668, 15946, 23919, 31892, 47838

Step-4: Factors of 95693

List of positive integer factors of 95693 that divides 95676 without a remainder.

1, 13, 17, 221, 433, 5629, 7361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95676 and 95693. The biggest common factor number is the GCF number.
So the greatest common factor 95676 and 95693 is 17.

Also check out the Least Common Multiple of 95676 and 95693