What is the Greatest Common Factor of 78470 and 78476?

Greatest common factor (GCF) of 78470 and 78476 is 2.

GCF(78470,78476) = 2

We will now calculate the prime factors of 78470 and 78476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78470 and 78476.

How to find the GCF of 78470 and 78476?

We will first find the prime factorization of 78470 and 78476. After we will calculate the factors of 78470 and 78476 and find the biggest common factor number .

Step-1: Prime Factorization of 78470

Prime factors of 78470 are 2, 5, 7, 19, 59. Prime factorization of 78470 in exponential form is:

78470 = 2¹ × 5¹ × 7¹ × 19¹ × 59¹

Step-2: Prime Factorization of 78476

Prime factors of 78476 are 2, 23, 853. Prime factorization of 78476 in exponential form is:

78476 = 2² × 23¹ × 853¹

Step-3: Factors of 78470

List of positive integer factors of 78470 that divides 78470 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 59, 70, 95, 118, 133, 190, 266, 295, 413, 590, 665, 826, 1121, 1330, 2065, 2242, 4130, 5605, 7847, 11210, 15694, 39235

Step-4: Factors of 78476

List of positive integer factors of 78476 that divides 78470 without a remainder.

1, 2, 4, 23, 46, 92, 853, 1706, 3412, 19619, 39238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78470 and 78476. The biggest common factor number is the GCF number.
So the greatest common factor 78470 and 78476 is 2.

Also check out the Least Common Multiple of 78470 and 78476