What is the Greatest Common Factor of 70255 and 70260?

Greatest common factor (GCF) of 70255 and 70260 is 5.

GCF(70255,70260) = 5

We will now calculate the prime factors of 70255 and 70260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70255 and 70260.

How to find the GCF of 70255 and 70260?

We will first find the prime factorization of 70255 and 70260. After we will calculate the factors of 70255 and 70260 and find the biggest common factor number .

Step-1: Prime Factorization of 70255

Prime factors of 70255 are 5, 14051. Prime factorization of 70255 in exponential form is:

70255 = 5¹ × 14051¹

Step-2: Prime Factorization of 70260

Prime factors of 70260 are 2, 3, 5, 1171. Prime factorization of 70260 in exponential form is:

70260 = 2² × 3¹ × 5¹ × 1171¹

Step-3: Factors of 70255

List of positive integer factors of 70255 that divides 70255 without a remainder.

1, 5, 14051

Step-4: Factors of 70260

List of positive integer factors of 70260 that divides 70255 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1171, 2342, 3513, 4684, 5855, 7026, 11710, 14052, 17565, 23420, 35130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70255 and 70260. The biggest common factor number is the GCF number.
So the greatest common factor 70255 and 70260 is 5.

Also check out the Least Common Multiple of 70255 and 70260