What is the Greatest Common Factor of 88060 and 88067?

Greatest common factor (GCF) of 88060 and 88067 is 7.

GCF(88060,88067) = 7

We will now calculate the prime factors of 88060 and 88067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88060 and 88067.

How to find the GCF of 88060 and 88067?

We will first find the prime factorization of 88060 and 88067. After we will calculate the factors of 88060 and 88067 and find the biggest common factor number .

Step-1: Prime Factorization of 88060

Prime factors of 88060 are 2, 5, 7, 17, 37. Prime factorization of 88060 in exponential form is:

88060 = 2² × 5¹ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 88067

Prime factors of 88067 are 7, 23, 547. Prime factorization of 88067 in exponential form is:

88067 = 7¹ × 23¹ × 547¹

Step-3: Factors of 88060

List of positive integer factors of 88060 that divides 88060 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 37, 68, 70, 74, 85, 119, 140, 148, 170, 185, 238, 259, 340, 370, 476, 518, 595, 629, 740, 1036, 1190, 1258, 1295, 2380, 2516, 2590, 3145, 4403, 5180, 6290, 8806, 12580, 17612, 22015, 44030

Step-4: Factors of 88067

List of positive integer factors of 88067 that divides 88060 without a remainder.

1, 7, 23, 161, 547, 3829, 12581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88060 and 88067. The biggest common factor number is the GCF number.
So the greatest common factor 88060 and 88067 is 7.

Also check out the Least Common Multiple of 88060 and 88067