What is the Greatest Common Factor of 79300 and 79304?

Greatest common factor (GCF) of 79300 and 79304 is 4.

GCF(79300,79304) = 4

We will now calculate the prime factors of 79300 and 79304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79300 and 79304.

How to find the GCF of 79300 and 79304?

We will first find the prime factorization of 79300 and 79304. After we will calculate the factors of 79300 and 79304 and find the biggest common factor number .

Step-1: Prime Factorization of 79300

Prime factors of 79300 are 2, 5, 13, 61. Prime factorization of 79300 in exponential form is:

79300 = 2² × 5² × 13¹ × 61¹

Step-2: Prime Factorization of 79304

Prime factors of 79304 are 2, 23, 431. Prime factorization of 79304 in exponential form is:

79304 = 2³ × 23¹ × 431¹

Step-3: Factors of 79300

List of positive integer factors of 79300 that divides 79300 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 61, 65, 100, 122, 130, 244, 260, 305, 325, 610, 650, 793, 1220, 1300, 1525, 1586, 3050, 3172, 3965, 6100, 7930, 15860, 19825, 39650

Step-4: Factors of 79304

List of positive integer factors of 79304 that divides 79300 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 431, 862, 1724, 3448, 9913, 19826, 39652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79300 and 79304. The biggest common factor number is the GCF number.
So the greatest common factor 79300 and 79304 is 4.

Also check out the Least Common Multiple of 79300 and 79304