What is the Greatest Common Factor of 47695 and 47712?

Greatest common factor (GCF) of 47695 and 47712 is 1.

GCF(47695,47712) = 1

We will now calculate the prime factors of 47695 and 47712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47695 and 47712.

How to find the GCF of 47695 and 47712?

We will first find the prime factorization of 47695 and 47712. After we will calculate the factors of 47695 and 47712 and find the biggest common factor number .

Step-1: Prime Factorization of 47695

Prime factors of 47695 are 5, 9539. Prime factorization of 47695 in exponential form is:

47695 = 5¹ × 9539¹

Step-2: Prime Factorization of 47712

Prime factors of 47712 are 2, 3, 7, 71. Prime factorization of 47712 in exponential form is:

47712 = 2⁵ × 3¹ × 7¹ × 71¹

Step-3: Factors of 47695

List of positive integer factors of 47695 that divides 47695 without a remainder.

1, 5, 9539

Step-4: Factors of 47712

List of positive integer factors of 47712 that divides 47695 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47695 and 47712. The biggest common factor number is the GCF number.
So the greatest common factor 47695 and 47712 is 1.

Also check out the Least Common Multiple of 47695 and 47712