What is the Greatest Common Factor of 78514 and 78524?

Greatest common factor (GCF) of 78514 and 78524 is 2.

GCF(78514,78524) = 2

We will now calculate the prime factors of 78514 and 78524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78514 and 78524.

How to find the GCF of 78514 and 78524?

We will first find the prime factorization of 78514 and 78524. After we will calculate the factors of 78514 and 78524 and find the biggest common factor number .

Step-1: Prime Factorization of 78514

Prime factors of 78514 are 2, 37, 1061. Prime factorization of 78514 in exponential form is:

78514 = 2¹ × 37¹ × 1061¹

Step-2: Prime Factorization of 78524

Prime factors of 78524 are 2, 67, 293. Prime factorization of 78524 in exponential form is:

78524 = 2² × 67¹ × 293¹

Step-3: Factors of 78514

List of positive integer factors of 78514 that divides 78514 without a remainder.

1, 2, 37, 74, 1061, 2122, 39257

Step-4: Factors of 78524

List of positive integer factors of 78524 that divides 78514 without a remainder.

1, 2, 4, 67, 134, 268, 293, 586, 1172, 19631, 39262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78514 and 78524. The biggest common factor number is the GCF number.
So the greatest common factor 78514 and 78524 is 2.

Also check out the Least Common Multiple of 78514 and 78524