What is the Greatest Common Factor of 95410 and 95424?

Greatest common factor (GCF) of 95410 and 95424 is 14.

GCF(95410,95424) = 14

We will now calculate the prime factors of 95410 and 95424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95410 and 95424.

How to find the GCF of 95410 and 95424?

We will first find the prime factorization of 95410 and 95424. After we will calculate the factors of 95410 and 95424 and find the biggest common factor number .

Step-1: Prime Factorization of 95410

Prime factors of 95410 are 2, 5, 7, 29, 47. Prime factorization of 95410 in exponential form is:

95410 = 2¹ × 5¹ × 7¹ × 29¹ × 47¹

Step-2: 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-3: Factors of 95410

List of positive integer factors of 95410 that divides 95410 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 47, 58, 70, 94, 145, 203, 235, 290, 329, 406, 470, 658, 1015, 1363, 1645, 2030, 2726, 3290, 6815, 9541, 13630, 19082, 47705

Step-4: Factors of 95424

List of positive integer factors of 95424 that divides 95410 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95410 and 95424. The biggest common factor number is the GCF number.
So the greatest common factor 95410 and 95424 is 14.

Also check out the Least Common Multiple of 95410 and 95424