What is the Greatest Common Factor of 78926 and 78945?

Greatest common factor (GCF) of 78926 and 78945 is 19.

GCF(78926,78945) = 19

We will now calculate the prime factors of 78926 and 78945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78926 and 78945.

How to find the GCF of 78926 and 78945?

We will first find the prime factorization of 78926 and 78945. After we will calculate the factors of 78926 and 78945 and find the biggest common factor number .

Step-1: Prime Factorization of 78926

Prime factors of 78926 are 2, 19, 31, 67. Prime factorization of 78926 in exponential form is:

78926 = 2¹ × 19¹ × 31¹ × 67¹

Step-2: Prime Factorization of 78945

Prime factors of 78945 are 3, 5, 19, 277. Prime factorization of 78945 in exponential form is:

78945 = 3¹ × 5¹ × 19¹ × 277¹

Step-3: Factors of 78926

List of positive integer factors of 78926 that divides 78926 without a remainder.

1, 2, 19, 31, 38, 62, 67, 134, 589, 1178, 1273, 2077, 2546, 4154, 39463

Step-4: Factors of 78945

List of positive integer factors of 78945 that divides 78926 without a remainder.

1, 3, 5, 15, 19, 57, 95, 277, 285, 831, 1385, 4155, 5263, 15789, 26315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78926 and 78945. The biggest common factor number is the GCF number.
So the greatest common factor 78926 and 78945 is 19.

Also check out the Least Common Multiple of 78926 and 78945