What is the Greatest Common Factor of 79034 and 79048?

Greatest common factor (GCF) of 79034 and 79048 is 2.

GCF(79034,79048) = 2

We will now calculate the prime factors of 79034 and 79048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79034 and 79048.

How to find the GCF of 79034 and 79048?

We will first find the prime factorization of 79034 and 79048. After we will calculate the factors of 79034 and 79048 and find the biggest common factor number .

Step-1: Prime Factorization of 79034

Prime factors of 79034 are 2, 43, 919. Prime factorization of 79034 in exponential form is:

79034 = 2¹ × 43¹ × 919¹

Step-2: Prime Factorization of 79048

Prime factors of 79048 are 2, 41, 241. Prime factorization of 79048 in exponential form is:

79048 = 2³ × 41¹ × 241¹

Step-3: Factors of 79034

List of positive integer factors of 79034 that divides 79034 without a remainder.

1, 2, 43, 86, 919, 1838, 39517

Step-4: Factors of 79048

List of positive integer factors of 79048 that divides 79034 without a remainder.

1, 2, 4, 8, 41, 82, 164, 241, 328, 482, 964, 1928, 9881, 19762, 39524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79034 and 79048. The biggest common factor number is the GCF number.
So the greatest common factor 79034 and 79048 is 2.

Also check out the Least Common Multiple of 79034 and 79048