What is the Greatest Common Factor of 68705 and 68715?

Greatest common factor (GCF) of 68705 and 68715 is 5.

GCF(68705,68715) = 5

We will now calculate the prime factors of 68705 and 68715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68705 and 68715.

How to find the GCF of 68705 and 68715?

We will first find the prime factorization of 68705 and 68715. After we will calculate the factors of 68705 and 68715 and find the biggest common factor number .

Step-1: Prime Factorization of 68705

Prime factors of 68705 are 5, 7, 13, 151. Prime factorization of 68705 in exponential form is:

68705 = 5¹ × 7¹ × 13¹ × 151¹

Step-2: Prime Factorization of 68715

Prime factors of 68715 are 3, 5, 509. Prime factorization of 68715 in exponential form is:

68715 = 3³ × 5¹ × 509¹

Step-3: Factors of 68705

List of positive integer factors of 68705 that divides 68705 without a remainder.

1, 5, 7, 13, 35, 65, 91, 151, 455, 755, 1057, 1963, 5285, 9815, 13741

Step-4: Factors of 68715

List of positive integer factors of 68715 that divides 68705 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 509, 1527, 2545, 4581, 7635, 13743, 22905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68705 and 68715. The biggest common factor number is the GCF number.
So the greatest common factor 68705 and 68715 is 5.

Also check out the Least Common Multiple of 68705 and 68715