What is the Greatest Common Factor of 70300 and 70311?

Greatest common factor (GCF) of 70300 and 70311 is 1.

GCF(70300,70311) = 1

We will now calculate the prime factors of 70300 and 70311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70300 and 70311.

How to find the GCF of 70300 and 70311?

We will first find the prime factorization of 70300 and 70311. After we will calculate the factors of 70300 and 70311 and find the biggest common factor number .

Step-1: Prime Factorization of 70300

Prime factors of 70300 are 2, 5, 19, 37. Prime factorization of 70300 in exponential form is:

70300 = 2² × 5² × 19¹ × 37¹

Step-2: Prime Factorization of 70311

Prime factors of 70311 are 3, 23, 1019. Prime factorization of 70311 in exponential form is:

70311 = 3¹ × 23¹ × 1019¹

Step-3: Factors of 70300

List of positive integer factors of 70300 that divides 70300 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 37, 38, 50, 74, 76, 95, 100, 148, 185, 190, 370, 380, 475, 703, 740, 925, 950, 1406, 1850, 1900, 2812, 3515, 3700, 7030, 14060, 17575, 35150

Step-4: Factors of 70311

List of positive integer factors of 70311 that divides 70300 without a remainder.

1, 3, 23, 69, 1019, 3057, 23437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70300 and 70311. The biggest common factor number is the GCF number.
So the greatest common factor 70300 and 70311 is 1.

Also check out the Least Common Multiple of 70300 and 70311