What is the Greatest Common Factor of 70860 and 70872?

Greatest common factor (GCF) of 70860 and 70872 is 12.

GCF(70860,70872) = 12

We will now calculate the prime factors of 70860 and 70872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70860 and 70872.

How to find the GCF of 70860 and 70872?

We will first find the prime factorization of 70860 and 70872. After we will calculate the factors of 70860 and 70872 and find the biggest common factor number .

Step-1: Prime Factorization of 70860

Prime factors of 70860 are 2, 3, 5, 1181. Prime factorization of 70860 in exponential form is:

70860 = 2² × 3¹ × 5¹ × 1181¹

Step-2: Prime Factorization of 70872

Prime factors of 70872 are 2, 3, 2953. Prime factorization of 70872 in exponential form is:

70872 = 2³ × 3¹ × 2953¹

Step-3: Factors of 70860

List of positive integer factors of 70860 that divides 70860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1181, 2362, 3543, 4724, 5905, 7086, 11810, 14172, 17715, 23620, 35430

Step-4: Factors of 70872

List of positive integer factors of 70872 that divides 70860 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2953, 5906, 8859, 11812, 17718, 23624, 35436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70860 and 70872. The biggest common factor number is the GCF number.
So the greatest common factor 70860 and 70872 is 12.

Also check out the Least Common Multiple of 70860 and 70872