What is the Greatest Common Factor of 75696 and 75715?

Greatest common factor (GCF) of 75696 and 75715 is 19.

GCF(75696,75715) = 19

We will now calculate the prime factors of 75696 and 75715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75696 and 75715.

How to find the GCF of 75696 and 75715?

We will first find the prime factorization of 75696 and 75715. After we will calculate the factors of 75696 and 75715 and find the biggest common factor number .

Step-1: Prime Factorization of 75696

Prime factors of 75696 are 2, 3, 19, 83. Prime factorization of 75696 in exponential form is:

75696 = 2⁴ × 3¹ × 19¹ × 83¹

Step-2: Prime Factorization of 75715

Prime factors of 75715 are 5, 19, 797. Prime factorization of 75715 in exponential form is:

75715 = 5¹ × 19¹ × 797¹

Step-3: Factors of 75696

List of positive integer factors of 75696 that divides 75696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 83, 114, 152, 166, 228, 249, 304, 332, 456, 498, 664, 912, 996, 1328, 1577, 1992, 3154, 3984, 4731, 6308, 9462, 12616, 18924, 25232, 37848

Step-4: Factors of 75715

List of positive integer factors of 75715 that divides 75696 without a remainder.

1, 5, 19, 95, 797, 3985, 15143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75696 and 75715. The biggest common factor number is the GCF number.
So the greatest common factor 75696 and 75715 is 19.

Also check out the Least Common Multiple of 75696 and 75715