What is the Greatest Common Factor of 78496 and 78507?

Greatest common factor (GCF) of 78496 and 78507 is 11.

GCF(78496,78507) = 11

We will now calculate the prime factors of 78496 and 78507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78496 and 78507.

How to find the GCF of 78496 and 78507?

We will first find the prime factorization of 78496 and 78507. After we will calculate the factors of 78496 and 78507 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 78507

Prime factors of 78507 are 3, 11, 13, 61. Prime factorization of 78507 in exponential form is:

78507 = 3² × 11¹ × 13¹ × 61¹

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 78507

List of positive integer factors of 78507 that divides 78496 without a remainder.

1, 3, 9, 11, 13, 33, 39, 61, 99, 117, 143, 183, 429, 549, 671, 793, 1287, 2013, 2379, 6039, 7137, 8723, 26169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78496 and 78507. The biggest common factor number is the GCF number.
So the greatest common factor 78496 and 78507 is 11.

Also check out the Least Common Multiple of 78496 and 78507