What is the Greatest Common Factor of 78496 and 78502?

Greatest common factor (GCF) of 78496 and 78502 is 2.

GCF(78496,78502) = 2

We will now calculate the prime factors of 78496 and 78502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78496 and 78502.

How to find the GCF of 78496 and 78502?

We will first find the prime factorization of 78496 and 78502. After we will calculate the factors of 78496 and 78502 and find the biggest common factor number .

Step-1: Prime Factorization of 78496

Prime factors of 78496 are 2, 11, 223. Prime factorization of 78496 in exponential form is:

78496 = 2⁵ × 11¹ × 223¹

Step-2: Prime Factorization of 78502

Prime factors of 78502 are 2, 39251. Prime factorization of 78502 in exponential form is:

78502 = 2¹ × 39251¹

Step-3: Factors of 78496

List of positive integer factors of 78496 that divides 78496 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 223, 352, 446, 892, 1784, 2453, 3568, 4906, 7136, 9812, 19624, 39248

Step-4: Factors of 78502

List of positive integer factors of 78502 that divides 78496 without a remainder.

1, 2, 39251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78496 and 78502. The biggest common factor number is the GCF number.
So the greatest common factor 78496 and 78502 is 2.

Also check out the Least Common Multiple of 78496 and 78502