What is the Greatest Common Factor of 88045 and 88060?

Greatest common factor (GCF) of 88045 and 88060 is 5.

GCF(88045,88060) = 5

We will now calculate the prime factors of 88045 and 88060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88045 and 88060.

How to find the GCF of 88045 and 88060?

We will first find the prime factorization of 88045 and 88060. After we will calculate the factors of 88045 and 88060 and find the biggest common factor number .

Step-1: Prime Factorization of 88045

Prime factors of 88045 are 5, 17609. Prime factorization of 88045 in exponential form is:

88045 = 5¹ × 17609¹

Step-2: 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-3: Factors of 88045

List of positive integer factors of 88045 that divides 88045 without a remainder.

1, 5, 17609

Step-4: Factors of 88060

List of positive integer factors of 88060 that divides 88045 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88045 and 88060. The biggest common factor number is the GCF number.
So the greatest common factor 88045 and 88060 is 5.

Also check out the Least Common Multiple of 88045 and 88060