What is the Greatest Common Factor of 95424 and 95438?

Greatest common factor (GCF) of 95424 and 95438 is 14.

GCF(95424,95438) = 14

We will now calculate the prime factors of 95424 and 95438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95424 and 95438.

How to find the GCF of 95424 and 95438?

We will first find the prime factorization of 95424 and 95438. After we will calculate the factors of 95424 and 95438 and find the biggest common factor number .

Step-1: Prime Factorization of 95424

Prime factors of 95424 are 2, 3, 7, 71. Prime factorization of 95424 in exponential form is:

95424 = 2⁶ × 3¹ × 7¹ × 71¹

Step-2: Prime Factorization of 95438

Prime factors of 95438 are 2, 7, 17, 401. Prime factorization of 95438 in exponential form is:

95438 = 2¹ × 7¹ × 17¹ × 401¹

Step-3: Factors of 95424

List of positive integer factors of 95424 that divides 95424 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 71, 84, 96, 112, 142, 168, 192, 213, 224, 284, 336, 426, 448, 497, 568, 672, 852, 994, 1136, 1344, 1491, 1704, 1988, 2272, 2982, 3408, 3976, 4544, 5964, 6816, 7952, 11928, 13632, 15904, 23856, 31808, 47712

Step-4: Factors of 95438

List of positive integer factors of 95438 that divides 95424 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 401, 802, 2807, 5614, 6817, 13634, 47719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95424 and 95438. The biggest common factor number is the GCF number.
So the greatest common factor 95424 and 95438 is 14.

Also check out the Least Common Multiple of 95424 and 95438