What is the Greatest Common Factor of 95424 and 95430?

Greatest common factor (GCF) of 95424 and 95430 is 6.

GCF(95424,95430) = 6

We will now calculate the prime factors of 95424 and 95430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95424 and 95430.

How to find the GCF of 95424 and 95430?

We will first find the prime factorization of 95424 and 95430. After we will calculate the factors of 95424 and 95430 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 95430

Prime factors of 95430 are 2, 3, 5, 3181. Prime factorization of 95430 in exponential form is:

95430 = 2¹ × 3¹ × 5¹ × 3181¹

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 95430

List of positive integer factors of 95430 that divides 95424 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3181, 6362, 9543, 15905, 19086, 31810, 47715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95424 and 95430. The biggest common factor number is the GCF number.
So the greatest common factor 95424 and 95430 is 6.

Also check out the Least Common Multiple of 95424 and 95430