What is the Greatest Common Factor of 78352 and 78370?

Greatest common factor (GCF) of 78352 and 78370 is 2.

GCF(78352,78370) = 2

We will now calculate the prime factors of 78352 and 78370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78352 and 78370.

How to find the GCF of 78352 and 78370?

We will first find the prime factorization of 78352 and 78370. After we will calculate the factors of 78352 and 78370 and find the biggest common factor number .

Step-1: Prime Factorization of 78352

Prime factors of 78352 are 2, 59, 83. Prime factorization of 78352 in exponential form is:

78352 = 2⁴ × 59¹ × 83¹

Step-2: Prime Factorization of 78370

Prime factors of 78370 are 2, 5, 17, 461. Prime factorization of 78370 in exponential form is:

78370 = 2¹ × 5¹ × 17¹ × 461¹

Step-3: Factors of 78352

List of positive integer factors of 78352 that divides 78352 without a remainder.

1, 2, 4, 8, 16, 59, 83, 118, 166, 236, 332, 472, 664, 944, 1328, 4897, 9794, 19588, 39176

Step-4: Factors of 78370

List of positive integer factors of 78370 that divides 78352 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 461, 922, 2305, 4610, 7837, 15674, 39185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78352 and 78370. The biggest common factor number is the GCF number.
So the greatest common factor 78352 and 78370 is 2.

Also check out the Least Common Multiple of 78352 and 78370