What is the Greatest Common Factor of 74854 and 74860?

Greatest common factor (GCF) of 74854 and 74860 is 2.

GCF(74854,74860) = 2

We will now calculate the prime factors of 74854 and 74860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74854 and 74860.

How to find the GCF of 74854 and 74860?

We will first find the prime factorization of 74854 and 74860. After we will calculate the factors of 74854 and 74860 and find the biggest common factor number .

Step-1: Prime Factorization of 74854

Prime factors of 74854 are 2, 13, 2879. Prime factorization of 74854 in exponential form is:

74854 = 2¹ × 13¹ × 2879¹

Step-2: Prime Factorization of 74860

Prime factors of 74860 are 2, 5, 19, 197. Prime factorization of 74860 in exponential form is:

74860 = 2² × 5¹ × 19¹ × 197¹

Step-3: Factors of 74854

List of positive integer factors of 74854 that divides 74854 without a remainder.

1, 2, 13, 26, 2879, 5758, 37427

Step-4: Factors of 74860

List of positive integer factors of 74860 that divides 74854 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 197, 380, 394, 788, 985, 1970, 3743, 3940, 7486, 14972, 18715, 37430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74854 and 74860. The biggest common factor number is the GCF number.
So the greatest common factor 74854 and 74860 is 2.

Also check out the Least Common Multiple of 74854 and 74860