What is the Greatest Common Factor of 70260 and 70267?

Greatest common factor (GCF) of 70260 and 70267 is 1.

GCF(70260,70267) = 1

We will now calculate the prime factors of 70260 and 70267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70260 and 70267.

How to find the GCF of 70260 and 70267?

We will first find the prime factorization of 70260 and 70267. After we will calculate the factors of 70260 and 70267 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70267

Prime factors of 70267 are 29, 2423. Prime factorization of 70267 in exponential form is:

70267 = 29¹ × 2423¹

Step-3: Factors of 70260

List of positive integer factors of 70260 that divides 70260 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

Step-4: Factors of 70267

List of positive integer factors of 70267 that divides 70260 without a remainder.

1, 29, 2423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70260 and 70267. The biggest common factor number is the GCF number.
So the greatest common factor 70260 and 70267 is 1.

Also check out the Least Common Multiple of 70260 and 70267